117947259017280 has 6048 divisors, whose sum is σ = 585665334696960. Its totient is φ = 22235892940800.

The previous prime is 117947259017279. The next prime is 117947259017309. The reversal of 117947259017280 is 82710952749711.

117947259017280 is a `hidden beast` number, since 1 + 1 + 7 + 9 + 4 + 7 + 2 + 590 + 17 + 28 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6048).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 458938750912 + ... + 458938751168.

It is an arithmetic number, because the mean of its divisors is an integer number (96836199520).

Almost surely, 2^{117947259017280} is an apocalyptic number.

117947259017280 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 117947259017280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292832667348480).

117947259017280 is an abundant number, since it is smaller than the sum of its proper divisors (467718075679680).

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

117947259017280 is a wasteful number, since it uses less digits than its factorization.

117947259017280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 17781120, while the sum is 63.

The spelling of 117947259017280 in words is "one hundred seventeen trillion, nine hundred forty-seven billion, two hundred fifty-nine million, seventeen thousand, two hundred eighty".