11825728000 has 80 divisors (see below), whose sum is σ = 29488351464. Its totient is φ = 4730265600.

The previous prime is 11825727989. The next prime is 11825728021. The reversal of 11825728000 is 82752811.

It can be written as a sum of positive squares in 4 ways, for example, as 5376995584 + 6448732416 = 73328^2 + 80304^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28389 + ... + 156388.

Almost surely, 2^11825728000 is an apocalyptic number.

11825728000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11825728000 is an abundant number, since it is smaller than the sum of its proper divisors (17662623464).

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

11825728000 is an frugal number, since it uses more digits than its factorization.

11825728000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184810 (or 184784 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 34.

The spelling of 11825728000 in words is "eleven billion, eight hundred twenty-five million, seven hundred twenty-eight thousand".