11828544000 has 640 divisors, whose sum is σ = 48473897472. Its totient is φ = 2492006400.

The previous prime is 11828543989. The next prime is 11828544043. The reversal of 11828544000 is 44582811.

It is a tau number, because it is divible by the number of its divisors (640).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17471662 + ... + 17472338.

Almost surely, 2^11828544000 is an apocalyptic number.

11828544000 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 11828544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24236948736).

11828544000 is an abundant number, since it is smaller than the sum of its proper divisors (36645353472).

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

11828544000 is an equidigital number, since it uses as much as digits as its factorization.

11828544000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 733 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 33.

The spelling of 11828544000 in words is "eleven billion, eight hundred twenty-eight million, five hundred forty-four thousand".