87288841920 has 896 divisors, whose sum is σ = 353938636800. Its totient is φ = 17757831168.

The previous prime is 87288841919. The next prime is 87288841949. The reversal of 87288841920 is 2914888278.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 365225161 + ... + 365225399.

It is an arithmetic number, because the mean of its divisors is an integer number (395020800).

Almost surely, 2^87288841920 is an apocalyptic number.

87288841920 is a gapful number since it is divisible by the number (80) 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 87288841920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176969318400).

87288841920 is an abundant number, since it is smaller than the sum of its proper divisors (266649794880).

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

87288841920 is a wasteful number, since it uses less digits than its factorization.

87288841920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 57.

The spelling of 87288841920 in words is "eighty-seven billion, two hundred eighty-eight million, eight hundred forty-one thousand, nine hundred twenty".