117007269792000 has 576 divisors, whose sum is σ = 470286677113344. Its totient is φ = 25171309363200.

The previous prime is 117007269791959. The next prime is 117007269792029. The reversal of 117007269792000 is 297962700711.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6302884 + ... + 16545116.

It is an arithmetic number, because the mean of its divisors is an integer number (816469925544).

Almost surely, 2^{117007269792000} is an apocalyptic number.

117007269792000 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 117007269792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235143338556672).

117007269792000 is an abundant number, since it is smaller than the sum of its proper divisors (353279407321344).

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

117007269792000 is a wasteful number, since it uses less digits than its factorization.

117007269792000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10242291 (or 10242267 counting only the distinct ones).

The product of its (nonzero) digits is 666792, while the sum is 51.

The spelling of 117007269792000 in words is "one hundred seventeen trillion, seven billion, two hundred sixty-nine million, seven hundred ninety-two thousand".