1198093132800 has 396 divisors, whose sum is σ = 4307739609316. Its totient is φ = 318151065600.

The previous prime is 1198093132793. The next prime is 1198093132849. The reversal of 1198093132800 is 82313908911.

It can be written as a sum of positive squares in 6 ways, for example, as 40179400704 + 1157913732096 = 200448^2 + 1076064^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 55515612 + ... + 55537188.

Almost surely, 2^{1198093132800} is an apocalyptic number.

1198093132800 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 1198093132800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2153869804658).

1198093132800 is an abundant number, since it is smaller than the sum of its proper divisors (3109646476516).

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

1198093132800 is a wasteful number, since it uses less digits than its factorization.

1198093132800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21854 (or 21828 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The spelling of 1198093132800 in words is "one trillion, one hundred ninety-eight billion, ninety-three million, one hundred thirty-two thousand, eight hundred".