115889116441680 has 640 divisors, whose sum is σ = 407268933120000. Its totient is φ = 30283883513856.

The previous prime is 115889116441663. The next prime is 115889116441723. The reversal of 115889116441680 is 86144611988511.

115889116441680 is a `hidden beast` number, since 1 + 1 + 5 + 8 + 89 + 1 + 1 + 64 + 416 + 80 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14939936362 + ... + 14939944118.

It is an arithmetic number, because the mean of its divisors is an integer number (636357708000).

Almost surely, 2^{115889116441680} is an apocalyptic number.

115889116441680 is a gapful number since it is divisible by the number (10) 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 115889116441680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203634466560000).

115889116441680 is an abundant number, since it is smaller than the sum of its proper divisors (291379816678320).

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

115889116441680 is a wasteful number, since it uses less digits than its factorization.

115889116441680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8528 (or 8516 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 63.

The spelling of 115889116441680 in words is "one hundred fifteen trillion, eight hundred eighty-nine billion, one hundred sixteen million, four hundred forty-one thousand, six hundred eighty".