56329408800 has 360 divisors, whose sum is σ = 234770348736. Its totient is φ = 12875189760.

The previous prime is 56329408747. The next prime is 56329408831. The reversal of 56329408800 is 880492365.

56329408800 is a `hidden beast` number, since 5 + 632 + 9 + 4 + 0 + 8 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 391509 + ... + 515691.

Almost surely, 2^56329408800 is an apocalyptic number.

56329408800 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 56329408800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117385174368).

56329408800 is an abundant number, since it is smaller than the sum of its proper divisors (178440939936).

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

56329408800 is a wasteful number, since it uses less digits than its factorization.

56329408800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124222 (or 124200 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 56329408800 in words is "fifty-six billion, three hundred twenty-nine million, four hundred eight thousand, eight hundred".