56292505967808 has 252 divisors, whose sum is σ = 177593049348624. Its totient is φ = 17035360742400.

The previous prime is 56292505967779. The next prime is 56292505967813. The reversal of 56292505967808 is 80876950529265.

56292505967808 is a `hidden beast` number, since 5 + 6 + 2 + 9 + 25 + 0 + 596 + 7 + 8 + 0 + 8 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 51240598 + ... + 52327658.

It is an arithmetic number, because the mean of its divisors is an integer number (704734322812).

Almost surely, 2^{56292505967808} 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 56292505967808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88796524674312).

56292505967808 is an abundant number, since it is smaller than the sum of its proper divisors (121300543380816).

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

56292505967808 is a wasteful number, since it uses less digits than its factorization.

56292505967808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1087844 (or 1087820 counting only the distinct ones).

The product of its (nonzero) digits is 653184000, while the sum is 72.

The spelling of 56292505967808 in words is "fifty-six trillion, two hundred ninety-two billion, five hundred five million, nine hundred sixty-seven thousand, eight hundred eight".