52585205760 has 312 divisors, whose sum is σ = 188173350144. Its totient is φ = 13568901120.

The previous prime is 52585205741. The next prime is 52585205767. The reversal of 52585205760 is 6750258525.

52585205760 is a `hidden beast` number, since 5 + 2 + 58 + 5 + 20 + 576 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (52585205767) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5709319 + ... + 5718521.

It is an arithmetic number, because the mean of its divisors is an integer number (603119712).

Almost surely, 2^52585205760 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 52585205760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94086675072).

52585205760 is an abundant number, since it is smaller than the sum of its proper divisors (135588144384).

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

52585205760 is a wasteful number, since it uses less digits than its factorization.

52585205760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9269 (or 9244 counting only the distinct ones).

The product of its (nonzero) digits is 840000, while the sum is 45.

The spelling of 52585205760 in words is "fifty-two billion, five hundred eighty-five million, two hundred five thousand, seven hundred sixty".