13825612560 has 160 divisors (see below), whose sum is σ = 43409721600. Its totient is φ = 3639803904.

The previous prime is 13825612519. The next prime is 13825612571. The reversal of 13825612560 is 6521652831.

It is a super-2 number, since 2×13825612560² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6542064 + ... + 6544176.

It is an arithmetic number, because the mean of its divisors is an integer number (271310760).

Almost surely, 2^13825612560 is an apocalyptic number.

13825612560 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 13825612560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21704860800).

13825612560 is an abundant number, since it is smaller than the sum of its proper divisors (29584109040).

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

13825612560 is a wasteful number, since it uses less digits than its factorization.

13825612560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2465 (or 2459 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The spelling of 13825612560 in words is "thirteen billion, eight hundred twenty-five million, six hundred twelve thousand, five hundred sixty".