87615165105600 has 2016 divisors, whose sum is σ = 332717328894720. Its totient is φ = 20151277977600.

The previous prime is 87615165105521. The next prime is 87615165105623. The reversal of 87615165105600 is 650156151678.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 142928490894 + ... + 142928491506.

Almost surely, 2^{87615165105600} is an apocalyptic number.

87615165105600 is a gapful number since it is divisible by the number (80) 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 87615165105600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166358664447360).

87615165105600 is an abundant number, since it is smaller than the sum of its proper divisors (245102163789120).

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

87615165105600 is a wasteful number, since it uses less digits than its factorization.

87615165105600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 859 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 51.

The spelling of 87615165105600 in words is "eighty-seven trillion, six hundred fifteen billion, one hundred sixty-five million, one hundred five thousand, six hundred".