11084225969520 has 960 divisors, whose sum is σ = 44175046616064. Its totient is φ = 2556718940160.

The previous prime is 11084225969501. The next prime is 11084225969533. The reversal of 11084225969520 is 2596952248011.

11084225969520 is a `hidden beast` number, since 1 + 1 + 0 + 8 + 4 + 2 + 2 + 59 + 69 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 949229922 + ... + 949241598.

Almost surely, 2^{11084225969520} is an apocalyptic number.

11084225969520 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 11084225969520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22087523308032).

11084225969520 is an abundant number, since it is smaller than the sum of its proper divisors (33090820646544).

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

11084225969520 is a wasteful number, since it uses less digits than its factorization.

11084225969520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11932 (or 11914 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 11084225969520 in words is "eleven trillion, eighty-four billion, two hundred twenty-five million, nine hundred sixty-nine thousand, five hundred twenty".