11228672000 has 416 divisors, whose sum is σ = 34633382784. Its totient is φ = 3538944000.

The previous prime is 11228671981. The next prime is 11228672017. The reversal of 11228672000 is 27682211.

It is a tau number, because it is divible by the number of its divisors (416).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46591880 + ... + 46592120.

It is an arithmetic number, because the mean of its divisors is an integer number (83253324).

Almost surely, 2^11228672000 is an apocalyptic number.

11228672000 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 11228672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17316691392).

11228672000 is an abundant number, since it is smaller than the sum of its proper divisors (23404710784).

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

11228672000 is an equidigital number, since it uses as much as digits as its factorization.

11228672000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 29.

The spelling of 11228672000 in words is "eleven billion, two hundred twenty-eight million, six hundred seventy-two thousand".