1178800128000 has 2560 divisors, whose sum is σ = 5344007011200. Its totient is φ = 254803968000.

The previous prime is 1178800127977. The next prime is 1178800128013. The reversal of 1178800128000 is 8210088711.

It is a tau number, because it is divible by the number of its divisors (2560).

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 62042111991 + ... + 62042112009.

Almost surely, 2^{1178800128000} is an apocalyptic number.

1178800128000 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 1178800128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2672003505600).

1178800128000 is an abundant number, since it is smaller than the sum of its proper divisors (4165206883200).

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

1178800128000 is an equidigital number, since it uses as much as digits as its factorization.

1178800128000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 36.

The spelling of 1178800128000 in words is "one trillion, one hundred seventy-eight billion, eight hundred million, one hundred twenty-eight thousand".