117993595104 has 1152 divisors, whose sum is σ = 481135334400. Its totient is φ = 27326730240.

The previous prime is 117993595073. The next prime is 117993595133. The reversal of 117993595104 is 401595399711.

117993595104 is a `hidden beast` number, since 1 + 1 + 7 + 99 + 35 + 9 + 510 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6210189207 + ... + 6210189225.

It is an arithmetic number, because the mean of its divisors is an integer number (417652200).

Almost surely, 2^117993595104 is an apocalyptic number.

117993595104 is a gapful number since it is divisible by the number (14) 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 117993595104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240567667200).

117993595104 is an abundant number, since it is smaller than the sum of its proper divisors (363141739296).

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

117993595104 is a wasteful number, since it uses less digits than its factorization.

117993595104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 1530900, while the sum is 54.

The spelling of 117993595104 in words is "one hundred seventeen billion, nine hundred ninety-three million, five hundred ninety-five thousand, one hundred four".