525807229680 has 1120 divisors, whose sum is σ = 2070321776640. Its totient is φ = 123350999040.

The previous prime is 525807229639. The next prime is 525807229681. The reversal of 525807229680 is 86922708525.

It is a happy number.

525807229680 is a `hidden beast` number, since 52 + 580 + 7 + 2 + 2 + 9 + 6 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (525807229681) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 1940247945 + ... + 1940248215.

Almost surely, 2^525807229680 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 525807229680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1035160888320).

525807229680 is an abundant number, since it is smaller than the sum of its proper divisors (1544514546960).

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

525807229680 is a wasteful number, since it uses less digits than its factorization.

525807229680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 525807229680 in words is "five hundred twenty-five billion, eight hundred seven million, two hundred twenty-nine thousand, six hundred eighty".