13483429825760 has 96 divisors (see below), whose sum is σ = 32340817216512. Its totient is φ = 5311103592960.

The previous prime is 13483429825687. The next prime is 13483429825787. The reversal of 13483429825760 is 6752892438431.

It is a junction number, because it is equal to n+sod(n) for n = 13483429825693 and 13483429825702.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32198525 + ... + 32614595.

It is an arithmetic number, because the mean of its divisors is an integer number (336883512672).

It is a 1-persistent number, because it is pandigital, but 2⋅13483429825760 = 26966859651520 is not.

Almost surely, 2^{13483429825760} is an apocalyptic number.

13483429825760 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 13483429825760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16170408608256).

13483429825760 is an abundant number, since it is smaller than the sum of its proper divisors (18857387390752).

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

13483429825760 is a wasteful number, since it uses less digits than its factorization.

13483429825760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419176 (or 419168 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 62.

The spelling of 13483429825760 in words is "thirteen trillion, four hundred eighty-three billion, four hundred twenty-nine million, eight hundred twenty-five thousand, seven hundred sixty".