52501296960 has 672 divisors, whose sum is σ = 218254112640. Its totient is φ = 11992458240.

The previous prime is 52501296959. The next prime is 52501296971. The reversal of 52501296960 is 6969210525.

It is a happy number.

52501296960 is a `hidden beast` number, since 5 + 2 + 501 + 29 + 69 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34291395 + ... + 34292925.

Almost surely, 2^52501296960 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 52501296960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109127056320).

52501296960 is an abundant number, since it is smaller than the sum of its proper divisors (165752815680).

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

52501296960 is an equidigital number, since it uses as much as digits as its factorization.

52501296960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1583 (or 1548 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The spelling of 52501296960 in words is "fifty-two billion, five hundred one million, two hundred ninety-six thousand, nine hundred sixty".