52523602560 has 1536 divisors, whose sum is σ = 234815293440. Its totient is φ = 10705305600.

The previous prime is 52523602559. The next prime is 52523602609. The reversal of 52523602560 is 6520632525.

52523602560 is a `hidden beast` number, since 5 + 25 + 23 + 602 + 5 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1694309745 + ... + 1694309775.

It is an arithmetic number, because the mean of its divisors is an integer number (152874540).

Almost surely, 2^52523602560 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 52523602560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117407646720).

52523602560 is an abundant number, since it is smaller than the sum of its proper divisors (182291690880).

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

52523602560 is a wasteful number, since it uses less digits than its factorization.

52523602560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 52523602560 in words is "fifty-two billion, five hundred twenty-three million, six hundred two thousand, five hundred sixty".