11825390304 has 432 divisors, whose sum is σ = 42753411792. Its totient is φ = 3072577536.

The previous prime is 11825390287. The next prime is 11825390309. The reversal of 11825390304 is 40309352811.

11825390304 is a `hidden beast` number, since 1 + 18 + 253 + 90 + 304 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11825390309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13391847 + ... + 13392729.

It is an arithmetic number, because the mean of its divisors is an integer number (98966231).

Almost surely, 2^11825390304 is an apocalyptic number.

11825390304 is a gapful number since it is divisible by the number (14) 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 11825390304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21376705896).

11825390304 is an abundant number, since it is smaller than the sum of its proper divisors (30928021488).

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

11825390304 is a wasteful number, since it uses less digits than its factorization.

11825390304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 999 (or 981 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 11825390304 in words is "eleven billion, eight hundred twenty-five million, three hundred ninety thousand, three hundred four".