117891791729280 has 1280 divisors, whose sum is σ = 436435236864000. Its totient is φ = 30309911396352.

The previous prime is 117891791729279. The next prime is 117891791729311. The reversal of 117891791729280 is 82927197198711.

117891791729280 is a `hidden beast` number, since 1 + 1 + 7 + 8 + 9 + 179 + 172 + 9 + 280 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 117891791729199 and 117891791729208.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 46105509762 + ... + 46105512318.

It is an arithmetic number, because the mean of its divisors is an integer number (340965028800).

Almost surely, 2^{117891791729280} is an apocalyptic number.

117891791729280 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 117891791729280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218217618432000).

117891791729280 is an abundant number, since it is smaller than the sum of its proper divisors (318543445134720).

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

117891791729280 is a wasteful number, since it uses less digits than its factorization.

117891791729280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2911 (or 2890 counting only the distinct ones).

The product of its (nonzero) digits is 64012032, while the sum is 72.

The spelling of 117891791729280 in words is "one hundred seventeen trillion, eight hundred ninety-one billion, seven hundred ninety-one million, seven hundred twenty-nine thousand, two hundred eighty".