56736261120 has 1056 divisors, whose sum is σ = 235224864000. Its totient is φ = 11656888320.

The previous prime is 56736261053. The next prime is 56736261121. The reversal of 56736261120 is 2116263765.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56736261121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 637486036 + ... + 637486124.

Almost surely, 2^56736261120 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 56736261120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117612432000).

56736261120 is an abundant number, since it is smaller than the sum of its proper divisors (178488602880).

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

56736261120 is a wasteful number, since it uses less digits than its factorization.

56736261120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The spelling of 56736261120 in words is "fifty-six billion, seven hundred thirty-six million, two hundred sixty-one thousand, one hundred twenty".