11222900640 has 288 divisors, whose sum is σ = 44702461440. Its totient is φ = 2510548992.

The previous prime is 11222900629. The next prime is 11222900641. The reversal of 11222900640 is 4600922211.

11222900640 is a `hidden beast` number, since 1 + 12 + 2 + 2 + 9 + 0 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (11222900641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 461916 + ... + 485604.

It is an arithmetic number, because the mean of its divisors is an integer number (155216880).

Almost surely, 2^11222900640 is an apocalyptic number.

11222900640 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 11222900640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22351230720).

11222900640 is an abundant number, since it is smaller than the sum of its proper divisors (33479560800).

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

11222900640 is a wasteful number, since it uses less digits than its factorization.

11222900640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23764 (or 23753 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 11222900640 in words is "eleven billion, two hundred twenty-two million, nine hundred thousand, six hundred forty".