56565615615000 has 320 divisors, whose sum is σ = 177174846900480. Its totient is φ = 15044616000000.

The previous prime is 56565615614953. The next prime is 56565615615029. The reversal of 56565615615000 is 51651656565.

56565615615000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 17293063365 + ... + 17293066635.

It is an arithmetic number, because the mean of its divisors is an integer number (553671396564).

Almost surely, 2^{56565615615000} is an apocalyptic number.

56565615615000 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 56565615615000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88587423450240).

56565615615000 is an abundant number, since it is smaller than the sum of its proper divisors (120609231285480).

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

56565615615000 is a wasteful number, since it uses less digits than its factorization.

56565615615000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5972 (or 5953 counting only the distinct ones).

The product of its (nonzero) digits is 4050000, while the sum is 51.

The spelling of 56565615615000 in words is "fifty-six trillion, five hundred sixty-five billion, six hundred fifteen million, six hundred fifteen thousand".