56165862989568 has 288 divisors, whose sum is σ = 166418261674560. Its totient is φ = 16734144430080.

The previous prime is 56165862989543. The next prime is 56165862989591. The reversal of 56165862989568 is 86598926856165.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21880146 + ... + 24311982.

It is an arithmetic number, because the mean of its divisors is an integer number (577841186370).

Almost surely, 2^{56165862989568} is an apocalyptic number.

56165862989568 is a gapful number since it is divisible by the number (58) 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 56165862989568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83209130837280).

56165862989568 is an abundant number, since it is smaller than the sum of its proper divisors (110252398684992).

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

56165862989568 is a wasteful number, since it uses less digits than its factorization.

56165862989568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2431963 (or 2431949 counting only the distinct ones).

The product of its digits is 13436928000, while the sum is 84.

The spelling of 56165862989568 in words is "fifty-six trillion, one hundred sixty-five billion, eight hundred sixty-two million, nine hundred eighty-nine thousand, five hundred sixty-eight".