56175406560 has 1152 divisors, whose sum is σ = 252975550464. Its totient is φ = 11014963200.

The previous prime is 56175406481. The next prime is 56175406579. The reversal of 56175406560 is 6560457165.

56175406560 is a `hidden beast` number, since 56 + 1 + 7 + 540 + 6 + 56 + 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 191 ways as a sum of consecutive naturals, for example, 336379597 + ... + 336379763.

It is an arithmetic number, because the mean of its divisors is an integer number (219596832).

Almost surely, 2^56175406560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56175406560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126487775232).

56175406560 is an abundant number, since it is smaller than the sum of its proper divisors (196800143904).

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

56175406560 is a wasteful number, since it uses less digits than its factorization.

56175406560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 56175406560 in words is "fifty-six billion, one hundred seventy-five million, four hundred six thousand, five hundred sixty".