87988283568 has 180 divisors, whose sum is σ = 255656755224. Its totient is φ = 28248192000.

The previous prime is 87988283563. The next prime is 87988283633. The reversal of 87988283568 is 86538288978.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 87988283496 and 87988283505.

It is not an unprimeable number, because it can be changed into a prime (87988283561) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 31411768 + ... + 31414568.

Almost surely, 2^87988283568 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 87988283568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127828377612).

87988283568 is an abundant number, since it is smaller than the sum of its proper divisors (167668471656).

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

87988283568 is a wasteful number, since it uses less digits than its factorization.

87988283568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3104 (or 3064 counting only the distinct ones).

The product of its digits is 371589120, while the sum is 72.

The spelling of 87988283568 in words is "eighty-seven billion, nine hundred eighty-eight million, two hundred eighty-three thousand, five hundred sixty-eight".