56165587456000 has 208 divisors, whose sum is σ = 152915135338368. Its totient is φ = 20423847936000.

The previous prime is 56165587455973. The next prime is 56165587456001. The reversal of 56165587456000 is 65478556165.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (56165587456001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 645709 + ... + 10618291.

It is an arithmetic number, because the mean of its divisors is an integer number (735168919896).

Almost surely, 2^{56165587456000} is an apocalyptic number.

56165587456000 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 56165587456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76457567669184).

56165587456000 is an abundant number, since it is smaller than the sum of its proper divisors (96749547882368).

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

56165587456000 is an equidigital number, since it uses as much as digits as its factorization.

56165587456000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9972633 (or 9972601 counting only the distinct ones).

The product of its (nonzero) digits is 30240000, while the sum is 58.

The spelling of 56165587456000 in words is "fifty-six trillion, one hundred sixty-five billion, five hundred eighty-seven million, four hundred fifty-six thousand".