13429838854080 has 1568 divisors, whose sum is σ = 54401474534400. Its totient is φ = 3126574080000.

The previous prime is 13429838854079. The next prime is 13429838854087. The reversal of 13429838854080 is 8045883892431.

13429838854080 is a `hidden beast` number, since 1 + 3 + 4 + 2 + 9 + 8 + 3 + 8 + 8 + 540 + 80 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 13429838853999 and 13429838854017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13429838854087) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 18678495961 + ... + 18678496679.

Almost surely, 2^{13429838854080} is an apocalyptic number.

13429838854080 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 13429838854080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27200737267200).

13429838854080 is an abundant number, since it is smaller than the sum of its proper divisors (40971635680320).

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

13429838854080 is a wasteful number, since it uses less digits than its factorization.

13429838854080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1045 (or 1020 counting only the distinct ones).

The product of its (nonzero) digits is 53084160, while the sum is 63.

The spelling of 13429838854080 in words is "thirteen trillion, four hundred twenty-nine billion, eight hundred thirty-eight million, eight hundred fifty-four thousand, eighty".