11799045600 has 288 divisors, whose sum is σ = 41419848960. Its totient is φ = 2907648000.

The previous prime is 11799045593. The next prime is 11799045607. The reversal of 11799045600 is 654099711.

It is an interprime number because it is at equal distance from previous prime (11799045593) and next prime (11799045607).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11799045607) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1866445 + ... + 1872755.

It is an arithmetic number, because the mean of its divisors is an integer number (143818920).

Almost surely, 2^11799045600 is an apocalyptic number.

11799045600 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 11799045600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20709924480).

11799045600 is an abundant number, since it is smaller than the sum of its proper divisors (29620803360).

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

11799045600 is a wasteful number, since it uses less digits than its factorization.

11799045600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6394 (or 6381 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 42.

The spelling of 11799045600 in words is "eleven billion, seven hundred ninety-nine million, forty-five thousand, six hundred".