56317524480000 has 2340 divisors, whose sum is σ = 241745509674240. Its totient is φ = 12845703168000.

The previous prime is 56317524479929. The next prime is 56317524480043. The reversal of 56317524480000 is 8442571365.

56317524480000 is a `hidden beast` number, since 5 + 631 + 7 + 5 + 2 + 4 + 4 + 8 + 0 + 0 + 0 + 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 179 ways as a sum of consecutive naturals, for example, 117573119761 + ... + 117573120239.

Almost surely, 2^{56317524480000} is an apocalyptic number.

56317524480000 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 56317524480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120872754837120).

56317524480000 is an abundant number, since it is smaller than the sum of its proper divisors (185427985194240).

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

56317524480000 is an frugal number, since it uses more digits than its factorization.

56317524480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 56317524480000 in words is "fifty-six trillion, three hundred seventeen billion, five hundred twenty-four million, four hundred eighty thousand".