87161518080 has 1152 divisors, whose sum is σ = 392082163200. Its totient is φ = 17390370816.

The previous prime is 87161518079. The next prime is 87161518097. The reversal of 87161518080 is 8081516178.

87161518080 is a `hidden beast` number, since 8 + 71 + 61 + 518 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 159344367 + ... + 159344913.

It is an arithmetic number, because the mean of its divisors is an integer number (340349100).

Almost surely, 2^87161518080 is an apocalyptic number.

87161518080 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 87161518080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196041081600).

87161518080 is an abundant number, since it is smaller than the sum of its proper divisors (304920645120).

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

87161518080 is a wasteful number, since it uses less digits than its factorization.

87161518080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 619 (or 596 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 45.

The spelling of 87161518080 in words is "eighty-seven billion, one hundred sixty-one million, five hundred eighteen thousand, eighty".