56756700000 has 2160 divisors, whose sum is σ = 285129594288. Its totient is φ = 10886400000.

The previous prime is 56756699983. The next prime is 56756700001. The reversal of 56756700000 is 765765.

56756700000 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 (2160).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56756700001) by changing a digit.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 4365899994 + ... + 4365900006.

Almost surely, 2^56756700000 is an apocalyptic number.

56756700000 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 56756700000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142564797144).

56756700000 is an abundant number, since it is smaller than the sum of its proper divisors (228372894288).

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

56756700000 is a wasteful number, since it uses less digits than its factorization.

56756700000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 36.

The spelling of 56756700000 in words is "fifty-six billion, seven hundred fifty-six million, seven hundred thousand".