52652264718960 has 640 divisors, whose sum is σ = 183752729072640. Its totient is φ = 13856832000000.

The previous prime is 52652264718943. The next prime is 52652264719001. The reversal of 52652264718960 is 6981746225625.

52652264718960 is a `hidden beast` number, since 5 + 2 + 6 + 5 + 2 + 26 + 471 + 89 + 60 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 32481346950 + ... + 32481348570.

It is an arithmetic number, because the mean of its divisors is an integer number (287113639176).

Almost surely, 2^{52652264718960} 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 52652264718960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91876364536320).

52652264718960 is an abundant number, since it is smaller than the sum of its proper divisors (131100464353680).

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

52652264718960 is a wasteful number, since it uses less digits than its factorization.

52652264718960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2406 (or 2394 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 63.

The spelling of 52652264718960 in words is "fifty-two trillion, six hundred fifty-two billion, two hundred sixty-four million, seven hundred eighteen thousand, nine hundred sixty".