11219282669952 has 960 divisors, whose sum is σ = 41027319843840. Its totient is φ = 3029780920320.

The previous prime is 11219282669941. The next prime is 11219282669993. The reversal of 11219282669952 is 25996628291211.

11219282669952 is a `hidden beast` number, since 1 + 1 + 219 + 28 + 266 + 99 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 11219282669952.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 677198373 + ... + 677214939.

It is an arithmetic number, because the mean of its divisors is an integer number (42736791504).

Almost surely, 2^{11219282669952} is an apocalyptic number.

11219282669952 is a gapful number since it is divisible by the number (12) 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 11219282669952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20513659921920).

11219282669952 is an abundant number, since it is smaller than the sum of its proper divisors (29808037173888).

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

11219282669952 is a wasteful number, since it uses less digits than its factorization.

11219282669952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16681 (or 16653 counting only the distinct ones).

The product of its digits is 16796160, while the sum is 63.

The spelling of 11219282669952 in words is "eleven trillion, two hundred nineteen billion, two hundred eighty-two million, six hundred sixty-nine thousand, nine hundred fifty-two".