116100864000 has 960 divisors, whose sum is σ = 473058986400. Its totient is φ = 28090368000.

The previous prime is 116100863987. The next prime is 116100864017. The reversal of 116100864000 is 468001611.

116100864000 is a `hidden beast` number, since 1 + 1 + 6 + 10 + 0 + 8 + 640 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 228095746 + ... + 228096254.

Almost surely, 2^116100864000 is an apocalyptic number.

116100864000 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 116100864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236529493200).

116100864000 is an abundant number, since it is smaller than the sum of its proper divisors (356958122400).

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

116100864000 is an equidigital number, since it uses as much as digits as its factorization.

116100864000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

Adding to 116100864000 its reverse (468001611), we get a palindrome (116568865611).

It can be divided in two parts, 116100 and 864000, that added together give a square (980100 = 990²).

The spelling of 116100864000 in words is "one hundred sixteen billion, one hundred million, eight hundred sixty-four thousand".