52590125766528 has 288 divisors, whose sum is σ = 178711761224880. Its totient is φ = 14541046456320.

The previous prime is 52590125766467. The next prime is 52590125766557. The reversal of 52590125766528 is 82566752109525.

It is a happy number.

52590125766528 is a `hidden beast` number, since 5 + 2 + 5 + 9 + 0 + 1 + 2 + 576 + 6 + 52 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4356376 + ... + 11142632.

Almost surely, 2^{52590125766528} 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 52590125766528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89355880612440).

52590125766528 is an abundant number, since it is smaller than the sum of its proper divisors (126121635458352).

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

52590125766528 is a wasteful number, since it uses less digits than its factorization.

52590125766528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6786346 (or 6786300 counting only the distinct ones).

The product of its (nonzero) digits is 90720000, while the sum is 63.

The spelling of 52590125766528 in words is "fifty-two trillion, five hundred ninety billion, one hundred twenty-five million, seven hundred sixty-six thousand, five hundred twenty-eight".