117852433920 has 1440 divisors, whose sum is σ = 490637347200. Its totient is φ = 27017183232.

The previous prime is 117852433913. The next prime is 117852433991. The reversal of 117852433920 is 29334258711.

It is a happy number.

117852433920 is a `hidden beast` number, since 1 + 1 + 7 + 8 + 524 + 33 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1997498851 + ... + 1997498909.

It is an arithmetic number, because the mean of its divisors is an integer number (340720380).

Almost surely, 2^117852433920 is an apocalyptic number.

117852433920 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 117852433920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245318673600).

117852433920 is an abundant number, since it is smaller than the sum of its proper divisors (372784913280).

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

117852433920 is an equidigital number, since it uses as much as digits as its factorization.

117852433920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 117852433920 in words is "one hundred seventeen billion, eight hundred fifty-two million, four hundred thirty-three thousand, nine hundred twenty".