11224351009080 has 960 divisors, whose sum is σ = 43444147824000. Its totient is φ = 2593761730560.

The previous prime is 11224351009043. The next prime is 11224351009127. The reversal of 11224351009080 is 8090015342211.

11224351009080 is a `hidden beast` number, since 1 + 1 + 22 + 43 + 510 + 0 + 9 + 0 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 898157392 + ... + 898169888.

It is an arithmetic number, because the mean of its divisors is an integer number (45254320650).

Almost surely, 2^{11224351009080} is an apocalyptic number.

11224351009080 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 11224351009080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21722073912000).

11224351009080 is an abundant number, since it is smaller than the sum of its proper divisors (32219796814920).

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

11224351009080 is a wasteful number, since it uses less digits than its factorization.

11224351009080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12650 (or 12626 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 11224351009080 in words is "eleven trillion, two hundred twenty-four billion, three hundred fifty-one million, nine thousand, eighty".