525516963840 has 768 divisors, whose sum is σ = 2009523297600. Its totient is φ = 125986406400.

The previous prime is 525516963821. The next prime is 525516963847. The reversal of 525516963840 is 48369615525.

525516963840 is a `hidden beast` number, since 5 + 2 + 5 + 516 + 96 + 38 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×525516963840² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (525516963847) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2903408550 + ... + 2903408730.

Almost surely, 2^525516963840 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 525516963840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1004761648800).

525516963840 is an abundant number, since it is smaller than the sum of its proper divisors (1484006333760).

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

525516963840 is a wasteful number, since it uses less digits than its factorization.

525516963840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 54.

The spelling of 525516963840 in words is "five hundred twenty-five billion, five hundred sixteen million, nine hundred sixty-three thousand, eight hundred forty".