118107509520 has 1280 divisors, whose sum is σ = 527006269440. Its totient is φ = 21232189440.

The previous prime is 118107509519. The next prime is 118107509557. The reversal of 118107509520 is 25905701811.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 494173561 + ... + 494173799.

It is an arithmetic number, because the mean of its divisors is an integer number (411723648).

Almost surely, 2^118107509520 is an apocalyptic number.

118107509520 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 118107509520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263503134720).

118107509520 is an abundant number, since it is smaller than the sum of its proper divisors (408898759920).

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

118107509520 is a wasteful number, since it uses less digits than its factorization.

118107509520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 39.

The spelling of 118107509520 in words is "one hundred eighteen billion, one hundred seven million, five hundred nine thousand, five hundred twenty".