56577316001400 has 192 divisors, whose sum is σ = 194882687647200. Its totient is φ = 15086876590080.

The previous prime is 56577316001357. The next prime is 56577316001411. The reversal of 56577316001400 is 410061377565.

56577316001400 is a `hidden beast` number, since 5 + 6 + 5 + 7 + 7 + 31 + 600 + 1 + 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 47 ways as a sum of consecutive naturals, for example, 236276134 + ... + 236515466.

Almost surely, 2^{56577316001400} is an apocalyptic number.

56577316001400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

56577316001400 is an abundant number, since it is smaller than the sum of its proper divisors (138305371645800).

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

56577316001400 is a wasteful number, since it uses less digits than its factorization.

56577316001400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283135 (or 283120 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

Adding to 56577316001400 its reverse (410061377565), we get a palindrome (56987377378965).

The spelling of 56577316001400 in words is "fifty-six trillion, five hundred seventy-seven billion, three hundred sixteen million, one thousand, four hundred".