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56609280000000 = 2153557713
BaseRepresentation
bin11001101111100011000000…
…00001101000000000000000
321102102210110001111201100000
430313301200001220000000
524404441301140000000
6320221535541200000
714631612505452030
oct1467614001500000
9242383401451300
1056609280000000
1117045951839422
126423311400000
1325783031a7c20
14dd9c91d3b8c0
1568280d500000
hex337c60068000

56609280000000 has 3072 divisors, whose sum is σ = 260910550817280. Its totient is φ = 11943936000000.

The previous prime is 56609279999989. The next prime is 56609280000067. The reversal of 56609280000000 is 8290665.

56609280000000 is a `hidden beast` number, since 566 + 0 + 92 + 8 + 0 + 0 + 0 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a super-2 number, since 2×566092800000002 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 56609280000000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4354559999994 + ... + 4354560000006.

Almost surely, 256609280000000 is an apocalyptic number.

56609280000000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56609280000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130455275408640).

56609280000000 is an abundant number, since it is smaller than the sum of its proper divisors (204301270817280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

56609280000000 is an frugal number, since it uses more digits than its factorization.

56609280000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

Adding to 56609280000000 its reverse (8290665), we get a palindrome (56609288290665).

The spelling of 56609280000000 in words is "fifty-six trillion, six hundred nine billion, two hundred eighty million", and thus it is an aban number.