56290515240960 has 5184 divisors, whose sum is σ = 282107266197120. Its totient is φ = 10121379840000.

The previous prime is 56290515240941. The next prime is 56290515240997. The reversal of 56290515240960 is 6904251509265.

56290515240960 is a `hidden beast` number, since 5 + 6 + 2 + 9 + 0 + 51 + 524 + 0 + 9 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 56290515240897 and 56290515240906.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 224265000835 + ... + 224265001085.

It is an arithmetic number, because the mean of its divisors is an integer number (54418839930).

Almost surely, 2^{56290515240960} 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 56290515240960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141053633098560).

56290515240960 is an abundant number, since it is smaller than the sum of its proper divisors (225816750956160).

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

56290515240960 is a wasteful number, since it uses less digits than its factorization.

56290515240960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 5832000, while the sum is 54.

The spelling of 56290515240960 in words is "fifty-six trillion, two hundred ninety billion, five hundred fifteen million, two hundred forty thousand, nine hundred sixty".