13805678880 has 480 divisors, whose sum is σ = 57490836480. Its totient is φ = 3053168640.

The previous prime is 13805678867. The next prime is 13805678899. The reversal of 13805678880 is 8887650831.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2809866 + ... + 2814774.

It is an arithmetic number, because the mean of its divisors is an integer number (119772576).

Almost surely, 2^13805678880 is an apocalyptic number.

13805678880 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 13805678880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28745418240).

13805678880 is an abundant number, since it is smaller than the sum of its proper divisors (43685157600).

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

13805678880 is a wasteful number, since it uses less digits than its factorization.

13805678880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4974 (or 4957 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 13805678880 in words is "thirteen billion, eight hundred five million, six hundred seventy-eight thousand, eight hundred eighty".