117855590400 has 216 divisors, whose sum is σ = 422083492740. Its totient is φ = 31428034560.

The previous prime is 117855590389. The next prime is 117855590401. The reversal of 117855590400 is 4095558711.

117855590400 is a `hidden beast` number, since 1 + 1 + 7 + 8 + 55 + 590 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117855590401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 332919 + ... + 588681.

Almost surely, 2^117855590400 is an apocalyptic number.

117855590400 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 117855590400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211041746370).

117855590400 is an abundant number, since it is smaller than the sum of its proper divisors (304227902340).

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

117855590400 is a wasteful number, since it uses less digits than its factorization.

117855590400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255801 (or 255773 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 45.

The spelling of 117855590400 in words is "one hundred seventeen billion, eight hundred fifty-five million, five hundred ninety thousand, four hundred".