56387174400 has 378 divisors, whose sum is σ = 202836444720. Its totient is φ = 14973665280.

The previous prime is 56387174369. The next prime is 56387174461. The reversal of 56387174400 is 447178365.

56387174400 is a `hidden beast` number, since 5 + 638 + 7 + 1 + 7 + 4 + 4 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 235929481 + ... + 235929719.

Almost surely, 2^56387174400 is an apocalyptic number.

56387174400 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 56387174400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101418222360).

56387174400 is an abundant number, since it is smaller than the sum of its proper divisors (146449270320).

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

56387174400 is an frugal number, since it uses more digits than its factorization.

56387174400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 56387174400 in words is "fifty-six billion, three hundred eighty-seven million, one hundred seventy-four thousand, four hundred".