56261568000 has 640 divisors, whose sum is σ = 216202162176. Its totient is φ = 12828672000.

The previous prime is 56261567993. The next prime is 56261568043. The reversal of 56261568000 is 86516265.

It is a tau number, because it is divible by the number of its divisors (640).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 56261568000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35903217 + ... + 35904783.

Almost surely, 2^56261568000 is an apocalyptic number.

56261568000 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 56261568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108101081088).

56261568000 is an abundant number, since it is smaller than the sum of its proper divisors (159940594176).

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

56261568000 is a wasteful number, since it uses less digits than its factorization.

56261568000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1631 (or 1605 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The spelling of 56261568000 in words is "fifty-six billion, two hundred sixty-one million, five hundred sixty-eight thousand".