87998352624 has 240 divisors, whose sum is σ = 305891185600. Its totient is φ = 22995062784.

The previous prime is 87998352601. The next prime is 87998352649. The reversal of 87998352624 is 42625389978.

87998352624 is a `hidden beast` number, since 8 + 7 + 9 + 9 + 83 + 526 + 24 = 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 47 ways as a sum of consecutive naturals, for example, 1397532 + ... + 1459140.

Almost surely, 2^87998352624 is an apocalyptic number.

87998352624 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 87998352624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152945592800).

87998352624 is an abundant number, since it is smaller than the sum of its proper divisors (217892832976).

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

87998352624 is a wasteful number, since it uses less digits than its factorization.

87998352624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61752 (or 61743 counting only the distinct ones).

The product of its digits is 52254720, while the sum is 63.

The spelling of 87998352624 in words is "eighty-seven billion, nine hundred ninety-eight million, three hundred fifty-two thousand, six hundred twenty-four".