52868712960 has 1280 divisors, whose sum is σ = 231928012800. Its totient is φ = 11287019520.

The previous prime is 52868712959. The next prime is 52868713003. The reversal of 52868712960 is 6921786825.

52868712960 is a `hidden beast` number, since 5 + 286 + 8 + 71 + 296 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

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

It is a junction number, because it is equal to n+sod(n) for n = 52868712897 and 52868712906.

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 127 ways as a sum of consecutive naturals, for example, 744629725 + ... + 744629795.

It is an arithmetic number, because the mean of its divisors is an integer number (181193760).

Almost surely, 2^52868712960 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 52868712960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115964006400).

52868712960 is an abundant number, since it is smaller than the sum of its proper divisors (179059299840).

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

52868712960 is an frugal number, since it uses more digits than its factorization.

52868712960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 52868712960 in words is "fifty-two billion, eight hundred sixty-eight million, seven hundred twelve thousand, nine hundred sixty".