87517525920 has 192 divisors, whose sum is σ = 318433078656. Its totient is φ = 19968327680.

The previous prime is 87517525897. The next prime is 87517525933. The reversal of 87517525920 is 2952571578.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 397749 + ... + 577268.

It is an arithmetic number, because the mean of its divisors is an integer number (1658505618).

Almost surely, 2^87517525920 is an apocalyptic number.

87517525920 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

87517525920 is an abundant number, since it is smaller than the sum of its proper divisors (230915552736).

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

87517525920 is a wasteful number, since it uses less digits than its factorization.

87517525920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 975063 (or 975055 counting only the distinct ones).

The product of its (nonzero) digits is 1764000, while the sum is 51.

The spelling of 87517525920 in words is "eighty-seven billion, five hundred seventeen million, five hundred twenty-five thousand, nine hundred twenty".