13222607093280 has 864 divisors, whose sum is σ = 53185404976704. Its totient is φ = 3083448010752.

The previous prime is 13222607093273. The next prime is 13222607093281. The reversal of 13222607093280 is 8239070622231.

13222607093280 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 2 + 607 + 0 + 9 + 32 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (13222607093281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 182427607 + ... + 182500073.

It is an arithmetic number, because the mean of its divisors is an integer number (61557181686).

Almost surely, 2^{13222607093280} is an apocalyptic number.

13222607093280 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 13222607093280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26592702488352).

13222607093280 is an abundant number, since it is smaller than the sum of its proper divisors (39962797883424).

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

13222607093280 is a wasteful number, since it uses less digits than its factorization.

13222607093280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72548 (or 72509 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 13222607093280 in words is "thirteen trillion, two hundred twenty-two billion, six hundred seven million, ninety-three thousand, two hundred eighty".