56735727832000 has 896 divisors, whose sum is σ = 169027425216000. Its totient is φ = 18454973644800.

The previous prime is 56735727831989. The next prime is 56735727832027. The reversal of 56735727832000 is 23872753765.

56735727832000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 25004726866 + ... + 25004729134.

Almost surely, 2^{56735727832000} is an apocalyptic number.

56735727832000 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 56735727832000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84513712608000).

56735727832000 is an abundant number, since it is smaller than the sum of its proper divisors (112291697384000).

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

56735727832000 is a wasteful number, since it uses less digits than its factorization.

56735727832000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2594 (or 2574 counting only the distinct ones).

The product of its (nonzero) digits is 14817600, while the sum is 55.

The spelling of 56735727832000 in words is "fifty-six trillion, seven hundred thirty-five billion, seven hundred twenty-seven million, eight hundred thirty-two thousand".