13493206272 has 576 divisors, whose sum is σ = 48113339904. Its totient is φ = 3255828480.

The previous prime is 13493206261. The next prime is 13493206291. The reversal of 13493206272 is 27260239431.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 13493206272.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48711798 + ... + 48712074.

It is an arithmetic number, because the mean of its divisors is an integer number (83530104).

Almost surely, 2^13493206272 is an apocalyptic number.

13493206272 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 13493206272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24056669952).

13493206272 is an abundant number, since it is smaller than the sum of its proper divisors (34620133632).

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

13493206272 is a wasteful number, since it uses less digits than its factorization.

13493206272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 39.

The spelling of 13493206272 in words is "thirteen billion, four hundred ninety-three million, two hundred six thousand, two hundred seventy-two".