56998656000 has 1152 divisors, whose sum is σ = 242761821120. Its totient is φ = 12681216000.

The previous prime is 56998655983. The next prime is 56998656007. The reversal of 56998656000 is 65689965.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56998656007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 329471914 + ... + 329472086.

Almost surely, 2^56998656000 is an apocalyptic number.

56998656000 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 56998656000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121380910560).

56998656000 is an abundant number, since it is smaller than the sum of its proper divisors (185763165120).

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

56998656000 is a wasteful number, since it uses less digits than its factorization.

56998656000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The spelling of 56998656000 in words is "fifty-six billion, nine hundred ninety-eight million, six hundred fifty-six thousand".