52689648960 has 672 divisors, whose sum is σ = 205245492480. Its totient is φ = 12648849408.

The previous prime is 52689648943. The next prime is 52689649003. The reversal of 52689648960 is 6984698625.

52689648960 is a `hidden beast` number, since 5 + 2 + 6 + 8 + 96 + 489 + 60 = 666.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 315506797 + ... + 315506963.

It is an arithmetic number, because the mean of its divisors is an integer number (305424840).

Almost surely, 2^52689648960 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 52689648960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102622746240).

52689648960 is an abundant number, since it is smaller than the sum of its proper divisors (152555843520).

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

52689648960 is a wasteful number, since it uses less digits than its factorization.

52689648960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 52689648960 in words is "fifty-two billion, six hundred eighty-nine million, six hundred forty-eight thousand, nine hundred sixty".