56739539187072 has 960 divisors, whose sum is σ = 204227122176000. Its totient is φ = 15574885079040.

The previous prime is 56739539187029. The next prime is 56739539187119. The reversal of 56739539187072 is 27078193593765.

56739539187072 is a `hidden beast` number, since 5 + 6 + 7 + 3 + 9 + 539 + 1 + 87 + 0 + 7 + 2 = 666.

It is a super-2 number, since 2×56739539187072² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2189096929 + ... + 2189122847.

It is an arithmetic number, because the mean of its divisors is an integer number (212736585600).

Almost surely, 2^{56739539187072} 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 56739539187072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102113561088000).

56739539187072 is an abundant number, since it is smaller than the sum of its proper divisors (147487582988928).

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

56739539187072 is a wasteful number, since it uses less digits than its factorization.

56739539187072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26129 (or 26101 counting only the distinct ones).

The product of its (nonzero) digits is 600112800, while the sum is 72.

It can be divided in two parts, 5673953 and 9187072, that added together give a square (14861025 = 3855²).

The spelling of 56739539187072 in words is "fifty-six trillion, seven hundred thirty-nine billion, five hundred thirty-nine million, one hundred eighty-seven thousand, seventy-two".