56477602972800 has 1152 divisors, whose sum is σ = 206604096491520. Its totient is φ = 14686866432000.

The previous prime is 56477602972789. The next prime is 56477602972801. The reversal of 56477602972800 is 827920677465.

56477602972800 is a `hidden beast` number, since 5 + 6 + 4 + 7 + 7 + 60 + 297 + 280 + 0 = 666.

56477602972800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1152).

It is not an unprimeable number, because it can be changed into a prime (56477602972801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 96213974107 + ... + 96213974693.

It is an arithmetic number, because the mean of its divisors is an integer number (179343833760).

Almost surely, 2^{56477602972800} is an apocalyptic number.

56477602972800 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 56477602972800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103302048245760).

56477602972800 is an abundant number, since it is smaller than the sum of its proper divisors (150126493518720).

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

56477602972800 is a wasteful number, since it uses less digits than its factorization.

56477602972800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1122 (or 1102 counting only the distinct ones).

The product of its (nonzero) digits is 71124480, while the sum is 63.

The spelling of 56477602972800 in words is "fifty-six trillion, four hundred seventy-seven billion, six hundred two million, nine hundred seventy-two thousand, eight hundred".