87518610432 has 220 divisors, whose sum is σ = 285109533456. Its totient is φ = 26520514560.

The previous prime is 87518610427. The next prime is 87518610437. The reversal of 87518610432 is 23401681578.

87518610432 is a `hidden beast` number, since 87 + 51 + 86 + 10 + 432 = 666.

It is an interprime number because it is at equal distance from previous prime (87518610427) and next prime (87518610437).

It is not an unprimeable number, because it can be changed into a prime (87518610437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 864423 + ... + 960345.

Almost surely, 2^87518610432 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 87518610432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142554766728).

87518610432 is an abundant number, since it is smaller than the sum of its proper divisors (197590923024).

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

87518610432 is a wasteful number, since it uses less digits than its factorization.

87518610432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95966 (or 95939 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 87518610432 in words is "eighty-seven billion, five hundred eighteen million, six hundred ten thousand, four hundred thirty-two".