52980700848768 has 2880 divisors, whose sum is σ = 208836414864000. Its totient is φ = 13277924352000.

The previous prime is 52980700848701. The next prime is 52980700848791. The reversal of 52980700848768 is 86784800708925.

52980700848768 is a `hidden beast` number, since 5 + 2 + 9 + 80 + 7 + 0 + 0 + 8 + 487 + 68 = 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 = 52980700848696 and 52980700848705.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 266234677533 + ... + 266234677731.

It is an arithmetic number, because the mean of its divisors is an integer number (72512644050).

Almost surely, 2^{52980700848768} 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 52980700848768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104418207432000).

52980700848768 is an abundant number, since it is smaller than the sum of its proper divisors (155855714015232).

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

52980700848768 is a wasteful number, since it uses less digits than its factorization.

52980700848768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 433520640, while the sum is 72.

The spelling of 52980700848768 in words is "fifty-two trillion, nine hundred eighty billion, seven hundred million, eight hundred forty-eight thousand, seven hundred sixty-eight".