13793031429072 has 240 divisors, whose sum is σ = 42899525683200. Its totient is φ = 3803671146240.

The previous prime is 13793031429049. The next prime is 13793031429101. The reversal of 13793031429072 is 27092413039731.

It is a happy number.

13793031429072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27384079 + ... + 27883217.

It is an arithmetic number, because the mean of its divisors is an integer number (178748023680).

Almost surely, 2^{13793031429072} is an apocalyptic number.

13793031429072 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 13793031429072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21449762841600).

13793031429072 is an abundant number, since it is smaller than the sum of its proper divisors (29106494254128).

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

13793031429072 is a wasteful number, since it uses less digits than its factorization.

13793031429072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499574 (or 499561 counting only the distinct ones).

The product of its (nonzero) digits is 1714608, while the sum is 51.

The spelling of 13793031429072 in words is "thirteen trillion, seven hundred ninety-three billion, thirty-one million, four hundred twenty-nine thousand, seventy-two".