87605360816 has 80 divisors (see below), whose sum is σ = 184678060800. Its totient is φ = 40124678400.

The previous prime is 87605360807. The next prime is 87605360831. The reversal of 87605360816 is 61806350678.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1054061 + ... + 1134131.

It is an arithmetic number, because the mean of its divisors is an integer number (2308475760).

Almost surely, 2^87605360816 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 87605360816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92339030400).

87605360816 is an abundant number, since it is smaller than the sum of its proper divisors (97072699984).

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

87605360816 is a wasteful number, since it uses less digits than its factorization.

87605360816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80218 (or 80212 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 50.

The spelling of 87605360816 in words is "eighty-seven billion, six hundred five million, three hundred sixty thousand, eight hundred sixteen".