56182464000 has 1280 divisors, whose sum is σ = 232717605120. Its totient is φ = 13271040000.

The previous prime is 56182463993. The next prime is 56182464043. The reversal of 56182464000 is 46428165.

56182464000 is a `hidden beast` number, since 5 + 6 + 1 + 8 + 2 + 4 + 640 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a super-2 number, since 2×56182464000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 921023970 + ... + 921024030.

It is an arithmetic number, because the mean of its divisors is an integer number (181810629).

Almost surely, 2^56182464000 is an apocalyptic number.

56182464000 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 56182464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116358802560).

56182464000 is an abundant number, since it is smaller than the sum of its proper divisors (176535141120).

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

56182464000 is a wasteful number, since it uses less digits than its factorization.

56182464000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

It can be divided in two parts, 561 and 82464000, that added together give a square (82464561 = 9081²).

The spelling of 56182464000 in words is "fifty-six billion, one hundred eighty-two million, four hundred sixty-four thousand".