87576960016 has 120 divisors (see below), whose sum is σ = 213949252800. Its totient is φ = 33991746048.

The previous prime is 87576960001. The next prime is 87576960047. The reversal of 87576960016 is 61006967578.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 959535 + ... + 1046833.

It is an arithmetic number, because the mean of its divisors is an integer number (1782910440).

Almost surely, 2^87576960016 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 87576960016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106974626400).

87576960016 is an abundant number, since it is smaller than the sum of its proper divisors (126372292784).

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

87576960016 is a wasteful number, since it uses less digits than its factorization.

87576960016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87393 (or 87374 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 55.

The spelling of 87576960016 in words is "eighty-seven billion, five hundred seventy-six million, nine hundred sixty thousand, sixteen".