11925964800 has 288 divisors, whose sum is σ = 43811258400. Its totient is φ = 3179888640.

The previous prime is 11925964781. The next prime is 11925964811. The reversal of 11925964800 is 846952911.

11925964800 is a `hidden beast` number, since 1 + 19 + 2 + 596 + 48 + 0 + 0 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 1378087 + ... + 1386713.

It is an arithmetic number, because the mean of its divisors is an integer number (152122425).

Almost surely, 2^11925964800 is an apocalyptic number.

11925964800 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 11925964800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21905629200).

11925964800 is an abundant number, since it is smaller than the sum of its proper divisors (31885293600).

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

11925964800 is an equidigital number, since it uses as much as digits as its factorization.

11925964800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8668 (or 8637 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 11925964800 in words is "eleven billion, nine hundred twenty-five million, nine hundred sixty-four thousand, eight hundred".