52668299520 has 360 divisors, whose sum is σ = 190436017464. Its totient is φ = 13897433088.

The previous prime is 52668299507. The next prime is 52668299531. The reversal of 52668299520 is 2599286625.

52668299520 is a `hidden beast` number, since 5 + 26 + 6 + 8 + 2 + 99 + 520 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11851370496 + 40816929024 = 108864^2 + 202032^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10054342 + ... + 10059578.

Almost surely, 2^52668299520 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 52668299520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95218008732).

52668299520 is an abundant number, since it is smaller than the sum of its proper divisors (137767717944).

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

52668299520 is an equidigital number, since it uses as much as digits as its factorization.

52668299520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5367 (or 5344 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 52668299520 in words is "fifty-two billion, six hundred sixty-eight million, two hundred ninety-nine thousand, five hundred twenty".