56537240760 has 1536 divisors, whose sum is σ = 266963558400. Its totient is φ = 10450944000.

The previous prime is 56537240759. The next prime is 56537240797. The reversal of 56537240760 is 6704273565.

56537240760 is a `hidden beast` number, since 5 + 6 + 537 + 2 + 40 + 76 + 0 = 666.

56537240760 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 (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 234594240 + ... + 234594480.

It is an arithmetic number, because the mean of its divisors is an integer number (173804400).

Almost surely, 2^56537240760 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 56537240760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133481779200).

56537240760 is an abundant number, since it is smaller than the sum of its proper divisors (210426317640).

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

56537240760 is a wasteful number, since it uses less digits than its factorization.

56537240760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 45.

The spelling of 56537240760 in words is "fifty-six billion, five hundred thirty-seven million, two hundred forty thousand, seven hundred sixty".