87150844333616 has 160 divisors (see below), whose sum is σ = 199251748405248. Its totient is φ = 36151719690240.

The previous prime is 87150844333607. The next prime is 87150844333627. The reversal of 87150844333616 is 61633344805178.

87150844333616 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (59) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3412715600 + ... + 3412741136.

Almost surely, 2^{87150844333616} is an apocalyptic number.

87150844333616 is a gapful number since it is divisible by the number (86) 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 87150844333616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99625874202624).

87150844333616 is an abundant number, since it is smaller than the sum of its proper divisors (112100904071632).

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

87150844333616 is a wasteful number, since it uses less digits than its factorization.

87150844333616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31979 (or 31973 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 59.

The spelling of 87150844333616 in words is "eighty-seven trillion, one hundred fifty billion, eight hundred forty-four million, three hundred thirty-three thousand, six hundred sixteen".