56590724623680 has 2240 divisors, whose sum is σ = 231589000473600. Its totient is φ = 13080043192320.

The previous prime is 56590724623673. The next prime is 56590724623681. The reversal of 56590724623680 is 8632642709565.

56590724623680 is a `hidden beast` number, since 5 + 6 + 5 + 90 + 7 + 2 + 462 + 3 + 6 + 80 = 666.

It is a super-2 number, since 2×56590724623680² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56590724623681) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 208821861945 + ... + 208821862215.

It is an arithmetic number, because the mean of its divisors is an integer number (103387946640).

Almost surely, 2^{56590724623680} 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 56590724623680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115794500236800).

56590724623680 is an abundant number, since it is smaller than the sum of its proper divisors (174998275849920).

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

56590724623680 is a wasteful number, since it uses less digits than its factorization.

56590724623680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 130636800, while the sum is 63.

The spelling of 56590724623680 in words is "fifty-six trillion, five hundred ninety billion, seven hundred twenty-four million, six hundred twenty-three thousand, six hundred eighty".