117456798597600 has 864 divisors, whose sum is σ = 501903107395200. Its totient is φ = 23564992819200.

The previous prime is 117456798597553. The next prime is 117456798597641. The reversal of 117456798597600 is 6795897654711.

It is a Harshad number since it is a multiple of its sum of digits (75).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 35948911 + ... + 39079889.

It is an arithmetic number, because the mean of its divisors is an integer number (580906374300).

Almost surely, 2^{117456798597600} is an apocalyptic number.

117456798597600 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 117456798597600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250951553697600).

117456798597600 is an abundant number, since it is smaller than the sum of its proper divisors (384446308797600).

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

117456798597600 is a wasteful number, since it uses less digits than its factorization.

117456798597600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3131056 (or 3131036 counting only the distinct ones).

The product of its (nonzero) digits is 800150400, while the sum is 75.

The spelling of 117456798597600 in words is "one hundred seventeen trillion, four hundred fifty-six billion, seven hundred ninety-eight million, five hundred ninety-seven thousand, six hundred".