118261180800 has 1152 divisors, whose sum is σ = 505110528000. Its totient is φ = 25778995200.

The previous prime is 118261180783. The next prime is 118261180811. The reversal of 118261180800 is 8081162811.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1152).

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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 793699126 + ... + 793699274.

It is an arithmetic number, because the mean of its divisors is an integer number (438464000).

Almost surely, 2^118261180800 is an apocalyptic number.

118261180800 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 118261180800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252555264000).

118261180800 is an abundant number, since it is smaller than the sum of its proper divisors (386849347200).

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

118261180800 is a wasteful number, since it uses less digits than its factorization.

118261180800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 36.

The spelling of 118261180800 in words is "one hundred eighteen billion, two hundred sixty-one million, one hundred eighty thousand, eight hundred".