52759848960 has 1152 divisors, whose sum is σ = 234390723840. Its totient is φ = 11083972608.

The previous prime is 52759848943. The next prime is 52759849057. The reversal of 52759848960 is 6984895725.

52759848960 is a `hidden beast` number, since 5 + 2 + 7 + 5 + 98 + 489 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 226437004 + ... + 226437236.

It is an arithmetic number, because the mean of its divisors is an integer number (203464170).

Almost surely, 2^52759848960 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 52759848960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117195361920).

52759848960 is an abundant number, since it is smaller than the sum of its proper divisors (181630874880).

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

52759848960 is a wasteful number, since it uses less digits than its factorization.

52759848960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 63.

The spelling of 52759848960 in words is "fifty-two billion, seven hundred fifty-nine million, eight hundred forty-eight thousand, nine hundred sixty".