87525258322320 has 2880 divisors, whose sum is σ = 404180205811200. Its totient is φ = 17488672395264.

The previous prime is 87525258322319. The next prime is 87525258322357. The reversal of 87525258322320 is 2322385252578.

87525258322320 is a `hidden beast` number, since 8 + 7 + 5 + 2 + 5 + 2 + 583 + 22 + 32 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 31292547162 + ... + 31292549958.

It is an arithmetic number, because the mean of its divisors is an integer number (140340349240).

Almost surely, 2^{87525258322320} is an apocalyptic number.

87525258322320 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87525258322320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202090102905600).

87525258322320 is an abundant number, since it is smaller than the sum of its proper divisors (316654947488880).

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

87525258322320 is a wasteful number, since it uses less digits than its factorization.

87525258322320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2897 (or 2846 counting only the distinct ones).

The product of its (nonzero) digits is 16128000, while the sum is 54.

The spelling of 87525258322320 in words is "eighty-seven trillion, five hundred twenty-five billion, two hundred fifty-eight million, three hundred twenty-two thousand, three hundred twenty".