56546020846800 has 1200 divisors, whose sum is σ = 220723314178752. Its totient is φ = 13810939084800.

The previous prime is 56546020846759. The next prime is 56546020846807. The reversal of 56546020846800 is 864802064565.

56546020846800 is a `hidden beast` number, since 5 + 6 + 5 + 460 + 20 + 84 + 6 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56546020846807) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 3062989570 + ... + 3063008030.

Almost surely, 2^{56546020846800} is an apocalyptic number.

56546020846800 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 56546020846800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110361657089376).

56546020846800 is an abundant number, since it is smaller than the sum of its proper divisors (164177293331952).

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

56546020846800 is a wasteful number, since it uses less digits than its factorization.

56546020846800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18658 (or 18638 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 54.

The spelling of 56546020846800 in words is "fifty-six trillion, five hundred forty-six billion, twenty million, eight hundred forty-six thousand, eight hundred".