56945989166976 has 3072 divisors, whose sum is σ = 222753742848000. Its totient is φ = 14379662868480.

The previous prime is 56945989166951. The next prime is 56945989166993. The reversal of 56945989166976 is 67966198954965.

56945989166976 is a `hidden beast` number, since 5 + 6 + 9 + 4 + 598 + 9 + 1 + 6 + 6 + 9 + 7 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 448393615425 + ... + 448393615551.

It is an arithmetic number, because the mean of its divisors is an integer number (72510984000).

Almost surely, 2^{56945989166976} is an apocalyptic number.

56945989166976 is a gapful number since it is divisible by the number (56) 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 56945989166976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111376871424000).

56945989166976 is an abundant number, since it is smaller than the sum of its proper divisors (165807753681024).

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

56945989166976 is a wasteful number, since it uses less digits than its factorization.

56945989166976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 266 counting only the distinct ones).

The product of its digits is 47617113600, while the sum is 90.

The spelling of 56945989166976 in words is "fifty-six trillion, nine hundred forty-five billion, nine hundred eighty-nine million, one hundred sixty-six thousand, nine hundred seventy-six".