56019902400 has 1008 divisors, whose sum is σ = 256699959040. Its totient is φ = 11632896000.

The previous prime is 56019902371. The next prime is 56019902453. The reversal of 56019902400 is 420991065.

56019902400 is a `hidden beast` number, since 5 + 60 + 199 + 0 + 2 + 400 = 666.

56019902400 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 (1008).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 36589635 + ... + 36591165.

Almost surely, 2^56019902400 is an apocalyptic number.

56019902400 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 56019902400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128349979520).

56019902400 is an abundant number, since it is smaller than the sum of its proper divisors (200680056640).

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

56019902400 is a wasteful number, since it uses less digits than its factorization.

56019902400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1591 (or 1559 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 56019902400 in words is "fifty-six billion, nineteen million, nine hundred two thousand, four hundred".