118278115200 has 576 divisors, whose sum is σ = 483603868800. Its totient is φ = 26963988480.

The previous prime is 118278115141. The next prime is 118278115211. The reversal of 118278115200 is 2511872811.

118278115200 is a `hidden beast` number, since 118 + 2 + 7 + 8 + 11 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 137692371 + ... + 137693229.

It is an arithmetic number, because the mean of its divisors is an integer number (839590050).

Almost surely, 2^118278115200 is an apocalyptic number.

118278115200 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 118278115200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241801934400).

118278115200 is an abundant number, since it is smaller than the sum of its proper divisors (365325753600).

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

118278115200 is a wasteful number, since it uses less digits than its factorization.

118278115200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1579 (or 1559 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 36.

The spelling of 118278115200 in words is "one hundred eighteen billion, two hundred seventy-eight million, one hundred fifteen thousand, two hundred".