117725842432000 has 896 divisors, whose sum is σ = 334905217920000. Its totient is φ = 40920219648000.

The previous prime is 117725842431983. The next prime is 117725842432007. The reversal of 117725842432000 is 234248527711.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117725842432007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33645566251 + ... + 33645569749.

It is an arithmetic number, because the mean of its divisors is an integer number (373778145000).

Almost surely, 2^{117725842432000} is an apocalyptic number.

117725842432000 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 117725842432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167452608960000).

117725842432000 is an abundant number, since it is smaller than the sum of its proper divisors (217179375488000).

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

117725842432000 is a wasteful number, since it uses less digits than its factorization.

117725842432000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3683 (or 3649 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 46.

The spelling of 117725842432000 in words is "one hundred seventeen trillion, seven hundred twenty-five billion, eight hundred forty-two million, four hundred thirty-two thousand".