117725560320 has 960 divisors, whose sum is σ = 434157926400. Its totient is φ = 27139768320.

The previous prime is 117725560297. The next prime is 117725560327. The reversal of 117725560320 is 23065527711.

It is a happy number.

117725560320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117725560327) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1995348451 + ... + 1995348509.

It is an arithmetic number, because the mean of its divisors is an integer number (452247840).

Almost surely, 2^117725560320 is an apocalyptic number.

117725560320 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 117725560320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217078963200).

117725560320 is an abundant number, since it is smaller than the sum of its proper divisors (316432366080).

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

117725560320 is a wasteful number, since it uses less digits than its factorization.

117725560320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 88200, while the sum is 39.

The spelling of 117725560320 in words is "one hundred seventeen billion, seven hundred twenty-five million, five hundred sixty thousand, three hundred twenty".