13622878080 has 960 divisors, whose sum is σ = 58755818880. Its totient is φ = 2995937280.

The previous prime is 13622878069. The next prime is 13622878121. The reversal of 13622878080 is 8087822631.

13622878080 is a `hidden beast` number, since 1 + 362 + 287 + 8 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 78744874 + ... + 78745046.

It is an arithmetic number, because the mean of its divisors is an integer number (61203978).

Almost surely, 2^13622878080 is an apocalyptic number.

13622878080 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 13622878080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29377909440).

13622878080 is an abundant number, since it is smaller than the sum of its proper divisors (45132940800).

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

13622878080 is a wasteful number, since it uses less digits than its factorization.

13622878080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 13622878080 in words is "thirteen billion, six hundred twenty-two million, eight hundred seventy-eight thousand, eighty".