116160433920 has 432 divisors, whose sum is σ = 412966505952. Its totient is φ = 30129684480.

The previous prime is 116160433903. The next prime is 116160433979. The reversal of 116160433920 is 29334061611.

116160433920 is a `hidden beast` number, since 1 + 1 + 616 + 0 + 4 + 3 + 39 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 208546282 + ... + 208546838.

It is an arithmetic number, because the mean of its divisors is an integer number (955940986).

Almost surely, 2^116160433920 is an apocalyptic number.

116160433920 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 116160433920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206483252976).

116160433920 is an abundant number, since it is smaller than the sum of its proper divisors (296806072032).

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

116160433920 is a wasteful number, since it uses less digits than its factorization.

116160433920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1048 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 116160433920 in words is "one hundred sixteen billion, one hundred sixty million, four hundred thirty-three thousand, nine hundred twenty".