56404325376000 has 2240 divisors, whose sum is σ = 253037044465920. Its totient is φ = 12211480166400.

The previous prime is 56404325375969. The next prime is 56404325376001. The reversal of 56404325376000 is 67352340465.

56404325376000 is a `hidden beast` number, since 5 + 6 + 4 + 0 + 4 + 3 + 2 + 5 + 37 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a super-2 number, since 2×56404325376000² (a number of 28 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (56404325376001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 11031549444 + ... + 11031554556.

Almost surely, 2^{56404325376000} is an apocalyptic number.

56404325376000 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 56404325376000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126518522232960).

56404325376000 is an abundant number, since it is smaller than the sum of its proper divisors (196632719089920).

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

56404325376000 is an equidigital number, since it uses as much as digits as its factorization.

56404325376000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5192 (or 5149 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 45.

The spelling of 56404325376000 in words is "fifty-six trillion, four hundred four billion, three hundred twenty-five million, three hundred seventy-six thousand".