56362758266880 has 3584 divisors, whose sum is σ = 242748814049280. Its totient is φ = 12271359098880.

The previous prime is 56362758266851. The next prime is 56362758266951. The reversal of 56362758266880 is 8866285726365.

56362758266880 is a `hidden beast` number, since 5 + 6 + 36 + 2 + 7 + 582 + 6 + 6 + 8 + 8 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 56362758266799 and 56362758266808.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 325796290474 + ... + 325796290646.

It is an arithmetic number, because the mean of its divisors is an integer number (67731253920).

Almost surely, 2^{56362758266880} 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 56362758266880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121374407024640).

56362758266880 is an abundant number, since it is smaller than the sum of its proper divisors (186386055782400).

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

56362758266880 is a wasteful number, since it uses less digits than its factorization.

56362758266880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 1393459200, while the sum is 72.

The spelling of 56362758266880 in words is "fifty-six trillion, three hundred sixty-two billion, seven hundred fifty-eight million, two hundred sixty-six thousand, eight hundred eighty".