56211807105792 has 720 divisors, whose sum is σ = 191308825838592. Its totient is φ = 16262863257600.

The previous prime is 56211807105791. The next prime is 56211807105829. The reversal of 56211807105792 is 29750170811265.

56211807105792 is a `hidden beast` number, since 5 + 62 + 1 + 1 + 8 + 0 + 7 + 1 + 0 + 579 + 2 = 666.

56211807105792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (56211807105791) 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 79 ways as a sum of consecutive naturals, for example, 5274631728 + ... + 5274642384.

Almost surely, 2^{56211807105792} is an apocalyptic number.

56211807105792 is a gapful number since it is divisible by the number (52) 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 56211807105792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95654412919296).

56211807105792 is an abundant number, since it is smaller than the sum of its proper divisors (135097018732800).

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

56211807105792 is a wasteful number, since it uses less digits than its factorization.

56211807105792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11866 (or 11843 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 54.

The spelling of 56211807105792 in words is "fifty-six trillion, two hundred eleven billion, eight hundred seven million, one hundred five thousand, seven hundred ninety-two".