117352573665600 has 672 divisors, whose sum is σ = 474399472490496. Its totient is φ = 24732107366400.

The previous prime is 117352573665559. The next prime is 117352573665617. The reversal of 117352573665600 is 6566375253711.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 387290155 + ... + 387593045.

It is an arithmetic number, because the mean of its divisors is an integer number (705951595968).

Almost surely, 2^{117352573665600} is an apocalyptic number.

117352573665600 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 117352573665600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237199736245248).

117352573665600 is an abundant number, since it is smaller than the sum of its proper divisors (357046898824896).

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

117352573665600 is a wasteful number, since it uses less digits than its factorization.

117352573665600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303823 (or 303808 counting only the distinct ones).

The product of its (nonzero) digits is 23814000, while the sum is 57.

The spelling of 117352573665600 in words is "one hundred seventeen trillion, three hundred fifty-two billion, five hundred seventy-three million, six hundred sixty-five thousand, six hundred".