87021988768 has 384 divisors, whose sum is σ = 221908377600. Its totient is φ = 32986828800.

The previous prime is 87021988741. The next prime is 87021988769. The reversal of 87021988768 is 86788912078.

It is not an unprimeable number, because it can be changed into a prime (87021988769) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 223706718 + ... + 223707106.

It is an arithmetic number, because the mean of its divisors is an integer number (577886400).

Almost surely, 2^87021988768 is an apocalyptic number.

87021988768 is a gapful number since it is divisible by the number (88) 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 87021988768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110954188800).

87021988768 is an abundant number, since it is smaller than the sum of its proper divisors (134886388832).

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

87021988768 is a wasteful number, since it uses less digits than its factorization.

87021988768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 21676032, while the sum is 64.

The spelling of 87021988768 in words is "eighty-seven billion, twenty-one million, nine hundred eighty-eight thousand, seven hundred sixty-eight".