117351759006720 has 792 divisors, whose sum is σ = 488266465684608. Its totient is φ = 25957977292800.

The previous prime is 117351759006697. The next prime is 117351759006767. The reversal of 117351759006720 is 27600957153711.

117351759006720 is a `hidden beast` number, since 1 + 1 + 7 + 3 + 517 + 59 + 0 + 0 + 6 + 72 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 69157240 + ... + 70833800.

Almost surely, 2^{117351759006720} is an apocalyptic number.

117351759006720 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 117351759006720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244133232842304).

117351759006720 is an abundant number, since it is smaller than the sum of its proper divisors (370914706677888).

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

117351759006720 is a wasteful number, since it uses less digits than its factorization.

117351759006720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1676637 (or 1676609 counting only the distinct ones).

The product of its (nonzero) digits is 2778300, while the sum is 54.

The spelling of 117351759006720 in words is "one hundred seventeen trillion, three hundred fifty-one billion, seven hundred fifty-nine million, six thousand, seven hundred twenty".