87911823168 has 336 divisors, whose sum is σ = 276611340096. Its totient is φ = 26532495360.

The previous prime is 87911823151. The next prime is 87911823187. The reversal of 87911823168 is 86132811978.

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, 90536923 + ... + 90537893.

It is an arithmetic number, because the mean of its divisors is an integer number (823248036).

Almost surely, 2^87911823168 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 87911823168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138305670048).

87911823168 is an abundant number, since it is smaller than the sum of its proper divisors (188699516928).

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

87911823168 is a wasteful number, since it uses less digits than its factorization.

87911823168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1222 (or 1209 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 54.

The spelling of 87911823168 in words is "eighty-seven billion, nine hundred eleven million, eight hundred twenty-three thousand, one hundred sixty-eight".