56759669955072 has 1200 divisors, whose sum is σ = 199564853906880. Its totient is φ = 16079488008192.

The previous prime is 56759669955049. The next prime is 56759669955089. The reversal of 56759669955072 is 27055996695765.

56759669955072 is a `hidden beast` number, since 5 + 6 + 7 + 59 + 6 + 6 + 9 + 9 + 550 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a junction number, because it is equal to n+sod(n) for n = 56759669954982 and 56759669955000.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 67651572829 + ... + 67651573667.

Almost surely, 2^{56759669955072} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56759669955072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99782426953440).

56759669955072 is an abundant number, since it is smaller than the sum of its proper divisors (142805183951808).

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

56759669955072 is an frugal number, since it uses more digits than its factorization.

56759669955072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1035 (or 988 counting only the distinct ones).

The product of its (nonzero) digits is 9644670000, while the sum is 81.

The spelling of 56759669955072 in words is "fifty-six trillion, seven hundred fifty-nine billion, six hundred sixty-nine million, nine hundred fifty-five thousand, seventy-two".