116186521920 has 224 divisors, whose sum is σ = 435191586816. Its totient is φ = 25700198400.

The previous prime is 116186521909. The next prime is 116186521921. The reversal of 116186521920 is 29125681611.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116186521921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70546 + ... + 487185.

It is an arithmetic number, because the mean of its divisors is an integer number (1942819584).

Almost surely, 2^116186521920 is an apocalyptic number.

116186521920 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 116186521920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217595793408).

116186521920 is an abundant number, since it is smaller than the sum of its proper divisors (319005064896).

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

116186521920 is a wasteful number, since it uses less digits than its factorization.

116186521920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557789 (or 557779 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 42.

The spelling of 116186521920 in words is "one hundred sixteen billion, one hundred eighty-six million, five hundred twenty-one thousand, nine hundred twenty".