56519616000 has 320 divisors, whose sum is σ = 188625355776. Its totient is φ = 15014912000.

The previous prime is 56519615963. The next prime is 56519616001. The reversal of 56519616000 is 61691565.

It is a tau number, because it is divible by the number of its divisors (320).

It is a self number, because there is not a number n which added to its sum of digits gives 56519616000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56519616001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82751659 + ... + 82752341.

Almost surely, 2^56519616000 is an apocalyptic number.

56519616000 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 56519616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94312677888).

56519616000 is an abundant number, since it is smaller than the sum of its proper divisors (132105739776).

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

56519616000 is an equidigital number, since it uses as much as digits as its factorization.

56519616000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1150 (or 1124 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 39.

The spelling of 56519616000 in words is "fifty-six billion, five hundred nineteen million, six hundred sixteen thousand".