87913680960 has 448 divisors, whose sum is σ = 347384217600. Its totient is φ = 18379726848.

The previous prime is 87913680923. The next prime is 87913680991. The reversal of 87913680960 is 6908631978.

It is a tau number, because it is divible by the number of its divisors (448).

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 87913680960.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3690849 + ... + 3714591.

It is an arithmetic number, because the mean of its divisors is an integer number (775411200).

Almost surely, 2^87913680960 is an apocalyptic number.

87913680960 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 87913680960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173692108800).

87913680960 is an abundant number, since it is smaller than the sum of its proper divisors (259470536640).

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

87913680960 is a wasteful number, since it uses less digits than its factorization.

87913680960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23818 (or 23808 counting only the distinct ones).

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

The spelling of 87913680960 in words is "eighty-seven billion, nine hundred thirteen million, six hundred eighty thousand, nine hundred sixty".