117801642487680 has 448 divisors, whose sum is σ = 444459162560400. Its totient is φ = 29760412704768.

The previous prime is 117801642487679. The next prime is 117801642487847. The reversal of 117801642487680 is 86784246108711.

117801642487680 is a `hidden beast` number, since 1 + 1 + 7 + 80 + 16 + 4 + 2 + 487 + 68 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2220172 + ... + 15509108.

Almost surely, 2^{117801642487680} is an apocalyptic number.

117801642487680 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 117801642487680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222229581280200).

117801642487680 is an abundant number, since it is smaller than the sum of its proper divisors (326657520072720).

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

117801642487680 is an equidigital number, since it uses as much as digits as its factorization.

117801642487680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13288993 (or 13288966 counting only the distinct ones).

The product of its (nonzero) digits is 28901376, while the sum is 63.

The spelling of 117801642487680 in words is "one hundred seventeen trillion, eight hundred one billion, six hundred forty-two million, four hundred eighty-seven thousand, six hundred eighty".