56902547266560 has 1056 divisors, whose sum is σ = 204979875010560. Its totient is φ = 14583832510464.

The previous prime is 56902547266517. The next prime is 56902547266603. The reversal of 56902547266560 is 6566274520965.

56902547266560 is a `hidden beast` number, since 5 + 6 + 9 + 0 + 2 + 5 + 4 + 7 + 2 + 66 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (56902547266517) and next prime (56902547266603).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 68639984226 + ... + 68639985054.

Almost surely, 2^{56902547266560} 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 56902547266560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102489937505280).

56902547266560 is an abundant number, since it is smaller than the sum of its proper divisors (148077327744000).

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

56902547266560 is a wasteful number, since it uses less digits than its factorization.

56902547266560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1341 (or 1320 counting only the distinct ones).

The product of its (nonzero) digits is 163296000, while the sum is 63.

The spelling of 56902547266560 in words is "fifty-six trillion, nine hundred two billion, five hundred forty-seven million, two hundred sixty-six thousand, five hundred sixty".