11228261280 has 192 divisors, whose sum is σ = 37302249600. Its totient is φ = 2831155200.

The previous prime is 11228261273. The next prime is 11228261281. The reversal of 11228261280 is 8216282211.

It is not an unprimeable number, because it can be changed into a prime (11228261281) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7012480 + ... + 7014080.

It is an arithmetic number, because the mean of its divisors is an integer number (194282550).

Almost surely, 2^11228261280 is an apocalyptic number.

11228261280 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 11228261280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18651124800).

11228261280 is an abundant number, since it is smaller than the sum of its proper divisors (26073988320).

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

11228261280 is a wasteful number, since it uses less digits than its factorization.

11228261280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2407 (or 2399 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 33.

The spelling of 11228261280 in words is "eleven billion, two hundred twenty-eight million, two hundred sixty-one thousand, two hundred eighty".