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55296576216000 = 26325371134792027
BaseRepresentation
bin11001001001010101111001…
…10010000101101111000000
321020210022010110202011121100
430210222330302011233000
524221434342002403000
6313334521343254400
714435021464422240
oct1444527462055700
9236708113664540
1055296576216000
111668a167771299
126250a1b5aa400
1324b15a21b3442
14d925234d3b20
1565d5ce18aa00
hex324abcc85bc0

55296576216000 has 1344 divisors, whose sum is σ = 228652365127680. Its totient is φ = 12495045427200.

The previous prime is 55296576215963. The next prime is 55296576216019. The reversal of 55296576216000 is 61267569255.

55296576216000 is a `hidden beast` number, since 5 + 5 + 2 + 9 + 6 + 5 + 7 + 6 + 21 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×552965762160002 (a number of 28 digits) contains 22 as substring.

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, 27280006987 + ... + 27280009013.

Almost surely, 255296576216000 is an apocalyptic number.

55296576216000 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 55296576216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114326182563840).

55296576216000 is an abundant number, since it is smaller than the sum of its proper divisors (173355788911680).

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

55296576216000 is a wasteful number, since it uses less digits than its factorization.

55296576216000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2659 (or 2636 counting only the distinct ones).

The product of its (nonzero) digits is 6804000, while the sum is 54.

The spelling of 55296576216000 in words is "fifty-five trillion, two hundred ninety-six billion, five hundred seventy-six million, two hundred sixteen thousand".