11925379200 has 384 divisors, whose sum is σ = 45945630720. Its totient is φ = 2661765120.

The previous prime is 11925379117. The next prime is 11925379223. The reversal of 11925379200 is 297352911.

It is a tau number, because it is divible by the number of its divisors (384).

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, 2887537 + ... + 2891663.

It is an arithmetic number, because the mean of its divisors is an integer number (119650080).

Almost surely, 2^11925379200 is an apocalyptic number.

11925379200 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 11925379200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22972815360).

11925379200 is an abundant number, since it is smaller than the sum of its proper divisors (34020251520).

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

11925379200 is a wasteful number, since it uses less digits than its factorization.

11925379200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4204 (or 4187 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 39.

The spelling of 11925379200 in words is "eleven billion, nine hundred twenty-five million, three hundred seventy-nine thousand, two hundred".