11798034393600 has 1800 divisors, whose sum is σ = 54042925004640. Its totient is φ = 2488996823040.

The previous prime is 11798034393569. The next prime is 11798034393637. The reversal of 11798034393600 is 639343089711.

It is a happy number.

11798034393600 is a `hidden beast` number, since 1 + 1 + 79 + 80 + 3 + 439 + 3 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1800).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 179 ways as a sum of consecutive naturals, for example, 1226529591 + ... + 1226539209.

Almost surely, 2^{11798034393600} is an apocalyptic number.

11798034393600 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 11798034393600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27021462502320).

11798034393600 is an abundant number, since it is smaller than the sum of its proper divisors (42244890611040).

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

11798034393600 is an equidigital number, since it uses as much as digits as its factorization.

11798034393600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9692 (or 9649 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 11798034393600 in words is "eleven trillion, seven hundred ninety-eight billion, thirty-four million, three hundred ninety-three thousand, six hundred".