13823084880 has 240 divisors, whose sum is σ = 53622264384. Its totient is φ = 3153899520.

The previous prime is 13823084867. The next prime is 13823084911. The reversal of 13823084880 is 8848032831.

13823084880 is a `hidden beast` number, since 138 + 2 + 30 + 8 + 488 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×13823084880² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 83307 + ... + 185973.

Almost surely, 2^13823084880 is an apocalyptic number.

13823084880 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 13823084880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26811132192).

13823084880 is an abundant number, since it is smaller than the sum of its proper divisors (39799179504).

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

13823084880 is a wasteful number, since it uses less digits than its factorization.

13823084880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102714 (or 102705 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 13823084880 in words is "thirteen billion, eight hundred twenty-three million, eighty-four thousand, eight hundred eighty".