11525230080 has 960 divisors, whose sum is σ = 51476705280. Its totient is φ = 2316238848.

The previous prime is 11525230049. The next prime is 11525230099. The reversal of 11525230080 is 8003252511.

It is a happy number.

11525230080 is a `hidden beast` number, since 11 + 52 + 523 + 0 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 48222601 + ... + 48222839.

It is an arithmetic number, because the mean of its divisors is an integer number (53621568).

Almost surely, 2^11525230080 is an apocalyptic number.

11525230080 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 11525230080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25738352640).

11525230080 is an abundant number, since it is smaller than the sum of its proper divisors (39951475200).

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

11525230080 is a wasteful number, since it uses less digits than its factorization.

11525230080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 11525230080 its reverse (8003252511), we get a palindrome (19528482591).

The spelling of 11525230080 in words is "eleven billion, five hundred twenty-five million, two hundred thirty thousand, eighty".