56797224978816 has 2304 divisors, whose sum is σ = 217055782944000. Its totient is φ = 14122318823424.

The previous prime is 56797224978803. The next prime is 56797224978943. The reversal of 56797224978816 is 61887942279765.

56797224978816 is a `hidden beast` number, since 5 + 6 + 7 + 97 + 22 + 497 + 8 + 8 + 16 = 666.

56797224978816 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (5120962560) is a multiple of the sum of its prime divisors (567).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 185007247335 + ... + 185007247641.

It is an arithmetic number, because the mean of its divisors is an integer number (94208239125).

Almost surely, 2^{56797224978816} is an apocalyptic number.

56797224978816 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56797224978816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108527891472000).

56797224978816 is an abundant number, since it is smaller than the sum of its proper divisors (160258557965184).

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

56797224978816 is a wasteful number, since it uses less digits than its factorization.

56797224978816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 589 (or 567 counting only the distinct ones).

The product of its digits is 5120962560, while the sum is 81.

The spelling of 56797224978816 in words is "fifty-six trillion, seven hundred ninety-seven billion, two hundred twenty-four million, nine hundred seventy-eight thousand, eight hundred sixteen".