56384294400 has 1200 divisors, whose sum is σ = 253075828896. Its totient is φ = 12103188480.

The previous prime is 56384294399. The next prime is 56384294429. The reversal of 56384294400 is 449248365.

56384294400 is a `hidden beast` number, since 5 + 638 + 4 + 2 + 9 + 4 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

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

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 5484 × 5100 × 2016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 123378972 + ... + 123379428.

Almost surely, 2^56384294400 is an apocalyptic number.

56384294400 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 56384294400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126537914448).

56384294400 is an abundant number, since it is smaller than the sum of its proper divisors (196691534496).

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

56384294400 is a wasteful number, since it uses less digits than its factorization.

56384294400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 56384294400 in words is "fifty-six billion, three hundred eighty-four million, two hundred ninety-four thousand, four hundred".