13425193220472 has 512 divisors, whose sum is σ = 43146528768000. Its totient is φ = 3827790743040.

The previous prime is 13425193220399. The next prime is 13425193220479. The reversal of 13425193220472 is 27402239152431.

13425193220472 is a `hidden beast` number, since 1 + 3 + 4 + 251 + 9 + 322 + 0 + 4 + 72 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13425193220479) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3035311653 + ... + 3035316075.

It is an arithmetic number, because the mean of its divisors is an integer number (84270564000).

Almost surely, 2^{13425193220472} is an apocalyptic number.

13425193220472 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 13425193220472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21573264384000).

13425193220472 is an abundant number, since it is smaller than the sum of its proper divisors (29721335547528).

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

13425193220472 is a wasteful number, since it uses less digits than its factorization.

13425193220472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5368 (or 5358 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 13425193220472 in words is "thirteen trillion, four hundred twenty-five billion, one hundred ninety-three million, two hundred twenty thousand, four hundred seventy-two".