117801440087760 has 720 divisors, whose sum is σ = 468789930440832. Its totient is φ = 26333655828480.

The previous prime is 117801440087717. The next prime is 117801440087789. The reversal of 117801440087760 is 67780044108711.

117801440087760 is a `hidden beast` number, since 1 + 1 + 7 + 80 + 14 + 400 + 87 + 76 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a junction number, because it is equal to n+sod(n) for n = 117801440087697 and 117801440087706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1095131739 + ... + 1095239301.

Almost surely, 2^{117801440087760} is an apocalyptic number.

117801440087760 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 117801440087760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234394965220416).

117801440087760 is an abundant number, since it is smaller than the sum of its proper divisors (350988490353072).

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

117801440087760 is a wasteful number, since it uses less digits than its factorization.

117801440087760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108584 (or 108564 counting only the distinct ones).

The product of its (nonzero) digits is 2107392, while the sum is 54.

The spelling of 117801440087760 in words is "one hundred seventeen trillion, eight hundred one billion, four hundred forty million, eighty-seven thousand, seven hundred sixty".