87031584864 has 384 divisors, whose sum is σ = 310654310400. Its totient is φ = 23138058240.

The previous prime is 87031584859. The next prime is 87031584883. The reversal of 87031584864 is 46848513078.

87031584864 is a `hidden beast` number, since 8 + 7 + 0 + 3 + 158 + 486 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 87031584864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9145869 + ... + 9155379.

It is an arithmetic number, because the mean of its divisors is an integer number (808995600).

Almost surely, 2^87031584864 is an apocalyptic number.

87031584864 is a gapful number since it is divisible by the number (84) 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 87031584864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155327155200).

87031584864 is an abundant number, since it is smaller than the sum of its proper divisors (223622725536).

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

87031584864 is a wasteful number, since it uses less digits than its factorization.

87031584864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9643 (or 9629 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 87031584864 in words is "eighty-seven billion, thirty-one million, five hundred eighty-four thousand, eight hundred sixty-four".