56538746880 has 1664 divisors, whose sum is σ = 258169835520. Its totient is φ = 10192158720.

The previous prime is 56538746819. The next prime is 56538746881. The reversal of 56538746880 is 8864783565.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56538746881) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1528074222 + ... + 1528074258.

Almost surely, 2^56538746880 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56538746880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129084917760).

56538746880 is an abundant number, since it is smaller than the sum of its proper divisors (201631088640).

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

56538746880 is a wasteful number, since it uses less digits than its factorization.

56538746880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 38707200, while the sum is 60.

The spelling of 56538746880 in words is "fifty-six billion, five hundred thirty-eight million, seven hundred forty-six thousand, eight hundred eighty".