56407136400 has 600 divisors, whose sum is σ = 209834180864. Its totient is φ = 14500684800.

The previous prime is 56407136351. The next prime is 56407136441. The reversal of 56407136400 is 463170465.

It is a happy number.

56407136400 is a `hidden beast` number, since 5 + 6 + 4 + 0 + 7 + 1 + 3 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 252946689 + ... + 252946911.

Almost surely, 2^56407136400 is an apocalyptic number.

56407136400 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 56407136400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104917090432).

56407136400 is an abundant number, since it is smaller than the sum of its proper divisors (153427044464).

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

56407136400 is a wasteful number, since it uses less digits than its factorization.

56407136400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 56407136400 in words is "fifty-six billion, four hundred seven million, one hundred thirty-six thousand, four hundred".