13825814880 has 48 divisors (see below), whose sum is σ = 43551318384. Its totient is φ = 3686883840.

The previous prime is 13825814869. The next prime is 13825814887. The reversal of 13825814880 is 8841852831.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13825814887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14401411 + ... + 14402370.

It is an arithmetic number, because the mean of its divisors is an integer number (907319133).

Almost surely, 2^13825814880 is an apocalyptic number.

13825814880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13825814880 is an abundant number, since it is smaller than the sum of its proper divisors (29725503504).

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

13825814880 is a wasteful number, since it uses less digits than its factorization.

13825814880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28803799 (or 28803791 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 48.

The spelling of 13825814880 in words is "thirteen billion, eight hundred twenty-five million, eight hundred fourteen thousand, eight hundred eighty".