117309309799680 has 288 divisors, whose sum is σ = 416300205525120. Its totient is φ = 31281349017600.

The previous prime is 117309309799621. The next prime is 117309309799699. The reversal of 117309309799680 is 86997903903711.

117309309799680 is a `hidden beast` number, since 1 + 1 + 7 + 309 + 309 + 7 + 9 + 9 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×117309309799680² (a number of 29 digits) contains 22 as substring.

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 = 117309309799599 and 117309309799608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1444601959 + ... + 1444683161.

It is an arithmetic number, because the mean of its divisors is an integer number (1445486824740).

Almost surely, 2^{117309309799680} is an apocalyptic number.

117309309799680 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 117309309799680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208150102762560).

117309309799680 is an abundant number, since it is smaller than the sum of its proper divisors (298990895725440).

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

117309309799680 is an equidigital number, since it uses as much as digits as its factorization.

117309309799680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123034 (or 123014 counting only the distinct ones).

The product of its (nonzero) digits is 138883248, while the sum is 72.

The spelling of 117309309799680 in words is "one hundred seventeen trillion, three hundred nine billion, three hundred nine million, seven hundred ninety-nine thousand, six hundred eighty".