13054226005728 has 384 divisors, whose sum is σ = 39295960704000. Its totient is φ = 4213705660416.

The previous prime is 13054226005649. The next prime is 13054226005741. The reversal of 13054226005728 is 82750062245031.

13054226005728 is a `hidden beast` number, since 1 + 3 + 0 + 54 + 2 + 26 + 0 + 0 + 572 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3393350301 + ... + 3393354147.

It is an arithmetic number, because the mean of its divisors is an integer number (102333231000).

Almost surely, 2^{13054226005728} is an apocalyptic number.

13054226005728 is a gapful number since it is divisible by the number (18) 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 13054226005728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19647980352000).

13054226005728 is an abundant number, since it is smaller than the sum of its proper divisors (26241734698272).

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

13054226005728 is a wasteful number, since it uses less digits than its factorization.

13054226005728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4671 (or 4657 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 13054226005728 in words is "thirteen trillion, fifty-four billion, two hundred twenty-six million, five thousand, seven hundred twenty-eight".