11793849600 has 216 divisors, whose sum is σ = 41917060192. Its totient is φ = 2903040000.

The previous prime is 11793849581. The next prime is 11793849623. The reversal of 11793849600 is 694839711.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 11793849600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 225975 + ... + 273225.

Almost surely, 2^11793849600 is an apocalyptic number.

11793849600 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 11793849600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20958530096).

11793849600 is an abundant number, since it is smaller than the sum of its proper divisors (30123210592).

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

11793849600 is a wasteful number, since it uses less digits than its factorization.

11793849600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47293 (or 47274 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 48.

The spelling of 11793849600 in words is "eleven billion, seven hundred ninety-three million, eight hundred forty-nine thousand, six hundred".