56989968000 has 1024 divisors, whose sum is σ = 232187904000. Its totient is φ = 12076646400.

The previous prime is 56989967963. The next prime is 56989968023. The reversal of 56989968000 is 86998965.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 504335944 + ... + 504336056.

It is an arithmetic number, because the mean of its divisors is an integer number (226746000).

Almost surely, 2^56989968000 is an apocalyptic number.

56989968000 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 56989968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116093952000).

56989968000 is an abundant number, since it is smaller than the sum of its proper divisors (175197936000).

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

56989968000 is a wasteful number, since it uses less digits than its factorization.

56989968000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 60.

The spelling of 56989968000 in words is "fifty-six billion, nine hundred eighty-nine million, nine hundred sixty-eight thousand".