56609280000 has 1560 divisors, whose sum is σ = 260799867328. Its totient is φ = 11943936000.

The previous prime is 56609279983. The next prime is 56609280001. The reversal of 56609280000 is 8290665.

56609280000 is a `hidden beast` number, since 566 + 0 + 92 + 8 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1560).

It is a super-2 number, since 2×56609280000² (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (56609280001) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4354559994 + ... + 4354560006.

Almost surely, 2^56609280000 is an apocalyptic number.

56609280000 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 56609280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130399933664).

56609280000 is an abundant number, since it is smaller than the sum of its proper divisors (204190587328).

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

56609280000 is an frugal number, since it uses more digits than its factorization.

56609280000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 30 counting only the distinct ones).

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

The spelling of 56609280000 in words is "fifty-six billion, six hundred nine million, two hundred eighty thousand".