13824526880 has 96 divisors (see below), whose sum is σ = 33910990848. Its totient is φ = 5320166400.

The previous prime is 13824526873. The next prime is 13824526909. The reversal of 13824526880 is 8862542831.

It is a super-2 number, since 2×13824526880² (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 15 ways as a sum of consecutive naturals, for example, 850025 + ... + 866135.

It is an arithmetic number, because the mean of its divisors is an integer number (353239488).

Almost surely, 2^13824526880 is an apocalyptic number.

13824526880 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 13824526880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16955495424).

13824526880 is an abundant number, since it is smaller than the sum of its proper divisors (20086463968).

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

13824526880 is a wasteful number, since it uses less digits than its factorization.

13824526880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16330 (or 16322 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 47.

The spelling of 13824526880 in words is "thirteen billion, eight hundred twenty-four million, five hundred twenty-six thousand, eight hundred eighty".