525923112960 has 1152 divisors, whose sum is σ = 2218800729600. Its totient is φ = 112538419200.

The previous prime is 525923112947. The next prime is 525923112961. The reversal of 525923112960 is 69211329525.

525923112960 is a `hidden beast` number, since 5 + 2 + 592 + 31 + 1 + 29 + 6 + 0 = 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 (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (525923112961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1311528760 + ... + 1311529160.

It is an arithmetic number, because the mean of its divisors is an integer number (1926042300).

Almost surely, 2^525923112960 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 525923112960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1109400364800).

525923112960 is an abundant number, since it is smaller than the sum of its proper divisors (1692877616640).

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

525923112960 is a wasteful number, since it uses less digits than its factorization.

525923112960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The spelling of 525923112960 in words is "five hundred twenty-five billion, nine hundred twenty-three million, one hundred twelve thousand, nine hundred sixty".