116309893502880 has 3072 divisors, whose sum is σ = 534237022126080. Its totient is φ = 23147547033600.

The previous prime is 116309893502863. The next prime is 116309893502897. The reversal of 116309893502880 is 88205398903611.

116309893502880 is a `hidden beast` number, since 1 + 1 + 6 + 30 + 9 + 8 + 93 + 502 + 8 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (116309893502863) and next prime (116309893502897).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 1199071066992 + ... + 1199071067088.

It is an arithmetic number, because the mean of its divisors is an integer number (173905280640).

Almost surely, 2^{116309893502880} is an apocalyptic number.

116309893502880 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 116309893502880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267118511063040).

116309893502880 is an abundant number, since it is smaller than the sum of its proper divisors (417927128623200).

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

116309893502880 is an frugal number, since it uses more digits than its factorization.

116309893502880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 63.

The spelling of 116309893502880 in words is "one hundred sixteen trillion, three hundred nine billion, eight hundred ninety-three million, five hundred two thousand, eight hundred eighty".