117666393292800 has 816 divisors, whose sum is σ = 471614764901760. Its totient is φ = 28525068288000.

The previous prime is 117666393292781. The next prime is 117666393292801. The reversal of 117666393292800 is 8292393666711.

It is a super-2 number, since 2×117666393292800² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (117666393292801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 486483895 + ... + 486725705.

Almost surely, 2^{117666393292800} is an apocalyptic number.

117666393292800 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 117666393292800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235807382450880).

117666393292800 is an abundant number, since it is smaller than the sum of its proper divisors (353948371608960).

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

117666393292800 is an equidigital number, since it uses as much as digits as its factorization.

117666393292800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241873 (or 241832 counting only the distinct ones).

The product of its (nonzero) digits is 35271936, while the sum is 63.

The spelling of 117666393292800 in words is "one hundred seventeen trillion, six hundred sixty-six billion, three hundred ninety-three million, two hundred ninety-two thousand, eight hundred".