87649916160 has 288 divisors, whose sum is σ = 293629593600. Its totient is φ = 22240272384.

The previous prime is 87649916143. The next prime is 87649916201. The reversal of 87649916160 is 6161994678.

It is a self number, because there is not a number n which added to its sum of digits gives 87649916160.

It is a congruent number.

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, 17573187 + ... + 17578173.

It is an arithmetic number, because the mean of its divisors is an integer number (1019547200).

Almost surely, 2^87649916160 is an apocalyptic number.

87649916160 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 87649916160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146814796800).

87649916160 is an abundant number, since it is smaller than the sum of its proper divisors (205979677440).

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

87649916160 is a wasteful number, since it uses less digits than its factorization.

87649916160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5233 (or 5219 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 57.

The spelling of 87649916160 in words is "eighty-seven billion, six hundred forty-nine million, nine hundred sixteen thousand, one hundred sixty".