116590233600 has 432 divisors, whose sum is σ = 433061188560. Its totient is φ = 31087411200.

The previous prime is 116590233569. The next prime is 116590233631. The reversal of 116590233600 is 6332095611.

116590233600 is a `hidden beast` number, since 1 + 1 + 6 + 590 + 2 + 3 + 3 + 60 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (116590233569) and next prime (116590233631).

It is a tau number, because it is divible by the number of its divisors (432).

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

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 12436915 + ... + 12446285.

It is an arithmetic number, because the mean of its divisors is an integer number (1002456455).

Almost surely, 2^116590233600 is an apocalyptic number.

116590233600 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 116590233600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216530594280).

116590233600 is an abundant number, since it is smaller than the sum of its proper divisors (316470954960).

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

116590233600 is an frugal number, since it uses more digits than its factorization.

116590233600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9418 (or 9381 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The spelling of 116590233600 in words is "one hundred sixteen billion, five hundred ninety million, two hundred thirty-three thousand, six hundred".