56450414592000 has 3840 divisors, whose sum is σ = 251444206540800. Its totient is φ = 12418154496000.

The previous prime is 56450414591999. The next prime is 56450414592023. The reversal of 56450414592000 is 29541405465.

56450414592000 is a `hidden beast` number, since 5 + 6 + 4 + 50 + 4 + 1 + 4 + 592 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

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 255 ways as a sum of consecutive naturals, for example, 956786687971 + ... + 956786688029.

It is an arithmetic number, because the mean of its divisors is an integer number (65480262120).

Almost surely, 2^{56450414592000} is an apocalyptic number.

56450414592000 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 56450414592000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125722103270400).

56450414592000 is an abundant number, since it is smaller than the sum of its proper divisors (194993791948800).

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

56450414592000 is an equidigital number, since it uses as much as digits as its factorization.

56450414592000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

Adding to 56450414592000 its reverse (29541405465), we get a palindrome (56479955997465).

The spelling of 56450414592000 in words is "fifty-six trillion, four hundred fifty billion, four hundred fourteen million, five hundred ninety-two thousand".