13499745255360 has 1344 divisors, whose sum is σ = 60872068857600. Its totient is φ = 2680601444352.

The previous prime is 13499745255331. The next prime is 13499745255379. The reversal of 13499745255360 is 6355254799431.

13499745255360 is a `hidden beast` number, since 1 + 3 + 4 + 9 + 9 + 74 + 5 + 2 + 553 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×13499745255360² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 752946876 + ... + 752964804.

It is an arithmetic number, because the mean of its divisors is an integer number (45291717900).

Almost surely, 2^{13499745255360} is an apocalyptic number.

13499745255360 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 13499745255360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30436034428800).

13499745255360 is an abundant number, since it is smaller than the sum of its proper divisors (47372323602240).

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

13499745255360 is a wasteful number, since it uses less digits than its factorization.

13499745255360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18015 (or 17976 counting only the distinct ones).

The product of its (nonzero) digits is 122472000, while the sum is 63.

The spelling of 13499745255360 in words is "thirteen trillion, four hundred ninety-nine billion, seven hundred forty-five million, two hundred fifty-five thousand, three hundred sixty".