56399328000 has 432 divisors, whose sum is σ = 210486590496. Its totient is φ = 15037747200.

The previous prime is 56399327983. The next prime is 56399328017. The reversal of 56399328000 is 82399365.

56399328000 is a `hidden beast` number, since 5 + 639 + 9 + 3 + 2 + 8 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (56399327983) and next prime (56399328017).

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7772374 + ... + 7779626.

It is an arithmetic number, because the mean of its divisors is an integer number (487237478).

Almost surely, 2^56399328000 is an apocalyptic number.

56399328000 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 56399328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105243295248).

56399328000 is an abundant number, since it is smaller than the sum of its proper divisors (154087262496).

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

56399328000 is an frugal number, since it uses more digits than its factorization.

56399328000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7299 (or 7263 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 56399328000 in words is "fifty-six billion, three hundred ninety-nine million, three hundred twenty-eight thousand".