11925080112400 has 480 divisors, whose sum is σ = 35426685324800. Its totient is φ = 3756467404800.

The previous prime is 11925080112347. The next prime is 11925080112403. The reversal of 11925080112400 is 421108052911.

It is not an unprimeable number, because it can be changed into a prime (11925080112403) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10562515036 + ... + 10562516164.

Almost surely, 2^{11925080112400} is an apocalyptic number.

11925080112400 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 11925080112400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17713342662400).

11925080112400 is an abundant number, since it is smaller than the sum of its proper divisors (23501605212400).

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

11925080112400 is a wasteful number, since it uses less digits than its factorization.

11925080112400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2267 (or 2256 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 34.

The spelling of 11925080112400 in words is "eleven trillion, nine hundred twenty-five billion, eighty million, one hundred twelve thousand, four hundred".