87011844288 has 112 divisors (see below), whose sum is σ = 242632992000. Its totient is φ = 27443708928.

The previous prime is 87011844233. The next prime is 87011844301. The reversal of 87011844288 is 88244811078.

It is a super-2 number, since 2×87011844288² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 87011844288.

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 15 ways as a sum of consecutive naturals, for example, 3046458 + ... + 3074886.

It is an arithmetic number, because the mean of its divisors is an integer number (2166366000).

Almost surely, 2^87011844288 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 87011844288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121316496000).

87011844288 is an abundant number, since it is smaller than the sum of its proper divisors (155621147712).

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

87011844288 is a wasteful number, since it uses less digits than its factorization.

87011844288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29302 (or 29292 counting only the distinct ones).

The product of its (nonzero) digits is 917504, while the sum is 51.

The spelling of 87011844288 in words is "eighty-seven billion, eleven million, eight hundred forty-four thousand, two hundred eighty-eight".