117779614400 has 840 divisors, whose sum is σ = 372642530304. Its totient is φ = 36510566400.

The previous prime is 117779614397. The next prime is 117779614427. The reversal of 117779614400 is 4416977711.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2739060779 + ... + 2739060821.

Almost surely, 2^117779614400 is an apocalyptic number.

117779614400 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 117779614400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186321265152).

117779614400 is an abundant number, since it is smaller than the sum of its proper divisors (254862915904).

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

117779614400 is an equidigital number, since it uses as much as digits as its factorization.

117779614400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 47.

The spelling of 117779614400 in words is "one hundred seventeen billion, seven hundred seventy-nine million, six hundred fourteen thousand, four hundred".