87917985792 has 810 divisors, whose sum is σ = 330864049593. Its totient is φ = 23187161088.

The previous prime is 87917985773. The next prime is 87917985817. The reversal of 87917985792 is 29758971978.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 75172478976 + 12745506816 = 274176^2 + 112896^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=209664.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 87917985792.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 6762921978 + ... + 6762921990.

Almost surely, 2^87917985792 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 87917985792

87917985792 is an abundant number, since it is smaller than the sum of its proper divisors (242946063801).

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

87917985792 is an frugal number, since it uses more digits than its factorization.

87917985792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 25 counting only the distinct ones).

The product of its digits is 160030080, while the sum is 72.

Multiplying 87917985792 by its sum of digits (72), we get a square (6330094977024 = 2515968²).

87917985792 divided by its sum of digits (72) gives a square (1221083136 = 34944²).

The spelling of 87917985792 in words is "eighty-seven billion, nine hundred seventeen million, nine hundred eighty-five thousand, seven hundred ninety-two".