116776857600 has 1404 divisors, whose sum is σ = 493006919496. Its totient is φ = 27232174080.

The previous prime is 116776857529. The next prime is 116776857601. The reversal of 116776857600 is 6758677611.

116776857600 is a `hidden beast` number, since 1 + 1 + 6 + 7 + 7 + 68 + 576 + 0 + 0 = 666.

116776857600 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1404).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116776857601) 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 107 ways as a sum of consecutive naturals, for example, 6146150391 + ... + 6146150409.

Almost surely, 2^116776857600 is an apocalyptic number.

116776857600 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 116776857600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246503459748).

116776857600 is an abundant number, since it is smaller than the sum of its proper divisors (376230061896).

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

116776857600 is an equidigital number, since it uses as much as digits as its factorization.

116776857600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 2963520, while the sum is 54.

The spelling of 116776857600 in words is "one hundred sixteen billion, seven hundred seventy-six million, eight hundred fifty-seven thousand, six hundred".