52817148457920 has 5376 divisors, whose sum is σ = 260888169185280. Its totient is φ = 9469978214400.

The previous prime is 52817148457883. The next prime is 52817148457939. The reversal of 52817148457920 is 2975484171825.

52817148457920 is a `hidden beast` number, since 5 + 2 + 8 + 17 + 1 + 48 + 4 + 579 + 2 + 0 = 666.

It is a super-2 number, since 2×52817148457920² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 295067868391 + ... + 295067868569.

It is an arithmetic number, because the mean of its divisors is an integer number (48528305280).

Almost surely, 2^{52817148457920} 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 52817148457920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130444084592640).

52817148457920 is an abundant number, since it is smaller than the sum of its proper divisors (208071020727360).

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

52817148457920 is a wasteful number, since it uses less digits than its factorization.

52817148457920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 45158400, while the sum is 63.

The spelling of 52817148457920 in words is "fifty-two trillion, eight hundred seventeen billion, one hundred forty-eight million, four hundred fifty-seven thousand, nine hundred twenty".