56369310480 has 640 divisors, whose sum is σ = 226271232000. Its totient is φ = 12633753600.

The previous prime is 56369310469. The next prime is 56369310493. The reversal of 56369310480 is 8401396365.

56369310480 is a `hidden beast` number, since 5 + 636 + 9 + 3 + 1 + 0 + 4 + 8 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 295127185 + ... + 295127375.

It is an arithmetic number, because the mean of its divisors is an integer number (353548800).

Almost surely, 2^56369310480 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 56369310480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113135616000).

56369310480 is an abundant number, since it is smaller than the sum of its proper divisors (169901921520).

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

56369310480 is a wasteful number, since it uses less digits than its factorization.

56369310480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 56369310480 in words is "fifty-six billion, three hundred sixty-nine million, three hundred ten thousand, four hundred eighty".