117835238400 has 264 divisors, whose sum is σ = 424859337024. Its totient is φ = 28565913600.

The previous prime is 117835238347. The next prime is 117835238449. The reversal of 117835238400 is 4832538711.

117835238400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (264).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 775059 + ... + 914541.

Almost surely, 2^117835238400 is an apocalyptic number.

117835238400 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 117835238400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212429668512).

117835238400 is an abundant number, since it is smaller than the sum of its proper divisors (307024098624).

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

117835238400 is a wasteful number, since it uses less digits than its factorization.

117835238400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139527 (or 139504 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The spelling of 117835238400 in words is "one hundred seventeen billion, eight hundred thirty-five million, two hundred thirty-eight thousand, four hundred".