116971105812480 has 864 divisors, whose sum is σ = 427445955020448. Its totient is φ = 30678397747200.

The previous prime is 116971105812439. The next prime is 116971105812497. The reversal of 116971105812480 is 84218501179611.

116971105812480 is a `hidden beast` number, since 1 + 1 + 6 + 9 + 7 + 1 + 10 + 581 + 2 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9714395260 + ... + 9714407300.

It is an arithmetic number, because the mean of its divisors is an integer number (494729114607).

Almost surely, 2^{116971105812480} is an apocalyptic number.

116971105812480 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 116971105812480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213722977510224).

116971105812480 is an abundant number, since it is smaller than the sum of its proper divisors (310474849207968).

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

116971105812480 is an frugal number, since it uses more digits than its factorization.

116971105812480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12156 (or 12112 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 54.

The spelling of 116971105812480 in words is "one hundred sixteen trillion, nine hundred seventy-one billion, one hundred five million, eight hundred twelve thousand, four hundred eighty".