11199734341920 has 288 divisors, whose sum is σ = 38440644802560. Its totient is φ = 2969304791040.

The previous prime is 11199734341909. The next prime is 11199734341937. The reversal of 11199734341920 is 2914343799111.

11199734341920 is a `hidden beast` number, since 1 + 1 + 19 + 9 + 7 + 3 + 434 + 192 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 417279861 + ... + 417306699.

It is an arithmetic number, because the mean of its divisors is an integer number (133474461120).

Almost surely, 2^{11199734341920} is an apocalyptic number.

11199734341920 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 11199734341920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19220322401280).

11199734341920 is an abundant number, since it is smaller than the sum of its proper divisors (27240910460640).

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

11199734341920 is a wasteful number, since it uses less digits than its factorization.

11199734341920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28528 (or 28517 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The spelling of 11199734341920 in words is "eleven trillion, one hundred ninety-nine billion, seven hundred thirty-four million, three hundred forty-one thousand, nine hundred twenty".