56210616000 has 672 divisors, whose sum is σ = 250715312640. Its totient is φ = 11678976000.

The previous prime is 56210615999. The next prime is 56210616017. The reversal of 56210616000 is 61601265.

It is a happy number.

56210616000 is a `hidden beast` number, since 56 + 2 + 1 + 0 + 6 + 1 + 600 + 0 = 666.

56210616000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5538931 + ... + 5549069.

Almost surely, 2^56210616000 is an apocalyptic number.

56210616000 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 56210616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125357656320).

56210616000 is an abundant number, since it is smaller than the sum of its proper divisors (194504696640).

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

56210616000 is a wasteful number, since it uses less digits than its factorization.

56210616000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10190 (or 10167 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 56210616000 in words is "fifty-six billion, two hundred ten million, six hundred sixteen thousand".