117542575717728 has 288 divisors, whose sum is σ = 378738304519680. Its totient is φ = 31762496747520.

The previous prime is 117542575717703. The next prime is 117542575717747. The reversal of 117542575717728 is 827717575245711.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3525573 + ... + 15732603.

It is an arithmetic number, because the mean of its divisors is an integer number (1315063557360).

Almost surely, 2^{117542575717728} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117542575717728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189369152259840).

117542575717728 is an abundant number, since it is smaller than the sum of its proper divisors (261195728801952).

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

117542575717728 is a wasteful number, since it uses less digits than its factorization.

117542575717728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12207170 (or 12207155 counting only the distinct ones).

The product of its digits is 268912000, while the sum is 69.

The spelling of 117542575717728 in words is "one hundred seventeen trillion, five hundred forty-two billion, five hundred seventy-five million, seven hundred seventeen thousand, seven hundred twenty-eight".