56524448967168 has 1920 divisors, whose sum is σ = 209194824960000. Its totient is φ = 13196807110656.

The previous prime is 56524448967137. The next prime is 56524448967193. The reversal of 56524448967168 is 86176984442565.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 56524448967168.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 113275448583 + ... + 113275449081.

It is an arithmetic number, because the mean of its divisors is an integer number (108955638000).

Almost surely, 2^{56524448967168} 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 56524448967168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104597412480000).

56524448967168 is an abundant number, since it is smaller than the sum of its proper divisors (152670375992832).

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

56524448967168 is a wasteful number, since it uses less digits than its factorization.

56524448967168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 782 (or 753 counting only the distinct ones).

The product of its digits is 2786918400, while the sum is 75.

The spelling of 56524448967168 in words is "fifty-six trillion, five hundred twenty-four billion, four hundred forty-eight million, nine hundred sixty-seven thousand, one hundred sixty-eight".