87017965632 has 504 divisors, whose sum is σ = 293954606400. Its totient is φ = 25335327744.

The previous prime is 87017965627. The next prime is 87017965649. The reversal of 87017965632 is 23656971078.

87017965632 is a `hidden beast` number, since 8 + 7 + 0 + 1 + 79 + 6 + 563 + 2 = 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 71 ways as a sum of consecutive naturals, for example, 103715869 + ... + 103716707.

Almost surely, 2^87017965632 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 87017965632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146977303200).

87017965632 is an abundant number, since it is smaller than the sum of its proper divisors (206936640768).

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

87017965632 is an equidigital number, since it uses as much as digits as its factorization.

87017965632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 907 (or 876 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 87017965632 in words is "eighty-seven billion, seventeen million, nine hundred sixty-five thousand, six hundred thirty-two".