118800000000 has 792 divisors, whose sum is σ = 479765379360. Its totient is φ = 28800000000.

The previous prime is 118799999977. The next prime is 118800000061. The reversal of 118800000000 is 8811.

It is a happy number.

118800000000 is digitally balanced in base 7, 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 (792).

It is a super-2 number, since 2×118800000000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10799999995 + ... + 10800000005.

Almost surely, 2^118800000000 is an apocalyptic number.

118800000000 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 118800000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239882689680).

118800000000 is an abundant number, since it is smaller than the sum of its proper divisors (360965379360).

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

118800000000 is an frugal number, since it uses more digits than its factorization.

118800000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 118800000000 its reverse (8811), we get a palindrome (118800008811).

The spelling of 118800000000 in words is "one hundred eighteen billion, eight hundred million", and thus it is an aban number.