13259672828160 has 432 divisors, whose sum is σ = 46571092259328. Its totient is φ = 3212864061440.

The previous prime is 13259672828099. The next prime is 13259672828179. The reversal of 13259672828160 is 6182827695231.

It is a super-2 number, since 2×13259672828160² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 13259672828094 and 13259672828103.

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, 1123028977 + ... + 1123040783.

It is an arithmetic number, because the mean of its divisors is an integer number (107803454304).

Almost surely, 2^{13259672828160} is an apocalyptic number.

13259672828160 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 13259672828160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23285546129664).

13259672828160 is an abundant number, since it is smaller than the sum of its proper divisors (33311419431168).

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

13259672828160 is a wasteful number, since it uses less digits than its factorization.

13259672828160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14270 (or 14245 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 60.

The spelling of 13259672828160 in words is "thirteen trillion, two hundred fifty-nine billion, six hundred seventy-two million, eight hundred twenty-eight thousand, one hundred sixty".