116868380160 has 640 divisors, whose sum is σ = 455257718784. Its totient is φ = 24995266560.

The previous prime is 116868380143. The next prime is 116868380179. The reversal of 116868380160 is 61083868611.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 58113555 + ... + 58115565.

Almost surely, 2^116868380160 is an apocalyptic number.

116868380160 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 116868380160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227628859392).

116868380160 is an abundant number, since it is smaller than the sum of its proper divisors (338389338624).

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

116868380160 is a wasteful number, since it uses less digits than its factorization.

116868380160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2114 (or 2098 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 48.

The spelling of 116868380160 in words is "one hundred sixteen billion, eight hundred sixty-eight million, three hundred eighty thousand, one hundred sixty".