99186086684160 has 1280 divisors, whose sum is σ = 416708894638080. Its totient is φ = 21883201781760.

The previous prime is 99186086684159. The next prime is 99186086684161. The reversal of 99186086684160 is 6148668068199.

99186086684160 is a `hidden beast` number, since 9 + 9 + 1 + 8 + 608 + 6 + 6 + 8 + 4 + 1 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (99186086684159) and next prime (99186086684161).

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99186086684161) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5954610552 + ... + 5954627208.

It is an arithmetic number, because the mean of its divisors is an integer number (325553823936).

Almost surely, 2^{99186086684160} is an apocalyptic number.

99186086684160 is a gapful number since it is divisible by the number (90) 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 99186086684160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208354447319040).

99186086684160 is an abundant number, since it is smaller than the sum of its proper divisors (317522807953920).

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

99186086684160 is a wasteful number, since it uses less digits than its factorization.

99186086684160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17124 (or 17102 counting only the distinct ones).

The product of its (nonzero) digits is 214990848, while the sum is 72.

The spelling of 99186086684160 in words is "ninety-nine trillion, one hundred eighty-six billion, eighty-six million, six hundred eighty-four thousand, one hundred sixty".