87029924688 has 480 divisors, whose sum is σ = 307254441600. Its totient is φ = 23451918336.

The previous prime is 87029924659. The next prime is 87029924693. The reversal of 87029924688 is 88642992078.

87029924688 is a `hidden beast` number, since 87 + 0 + 2 + 9 + 92 + 468 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 141973470 + ... + 141974082.

It is an arithmetic number, because the mean of its divisors is an integer number (640113420).

Almost surely, 2^87029924688 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 87029924688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153627220800).

87029924688 is an abundant number, since it is smaller than the sum of its proper divisors (220224516912).

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

87029924688 is a wasteful number, since it uses less digits than its factorization.

87029924688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1016 (or 997 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 87029924688 in words is "eighty-seven billion, twenty-nine million, nine hundred twenty-four thousand, six hundred eighty-eight".