116709860966400 has 3456 divisors, whose sum is σ = 503282347868160. Its totient is φ = 26255000862720.

The previous prime is 116709860966389. The next prime is 116709860966423. The reversal of 116709860966400 is 4669068907611.

116709860966400 is a `hidden beast` number, since 1 + 1 + 67 + 0 + 9 + 86 + 0 + 96 + 6 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 918975283137 + ... + 918975283263.

It is an arithmetic number, because the mean of its divisors is an integer number (145625679360).

Almost surely, 2^{116709860966400} is an apocalyptic number.

116709860966400 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 116709860966400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251641173934080).

116709860966400 is an abundant number, since it is smaller than the sum of its proper divisors (386572486901760).

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

116709860966400 is a wasteful number, since it uses less digits than its factorization.

116709860966400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The spelling of 116709860966400 in words is "one hundred sixteen trillion, seven hundred nine billion, eight hundred sixty million, nine hundred sixty-six thousand, four hundred".