13822808802960 has 160 divisors (see below), whose sum is σ = 44236117278720. Its totient is φ = 3566924121600.

The previous prime is 13822808802937. The next prime is 13822808802967. The reversal of 13822808802960 is 6920880822831.

13822808802960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 13822808802960.

It is not an unprimeable number, because it can be changed into a prime (13822808802967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 119808181 + ... + 119923499.

It is an arithmetic number, because the mean of its divisors is an integer number (276475732992).

Almost surely, 2^{13822808802960} is an apocalyptic number.

13822808802960 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 13822808802960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22118058639360).

13822808802960 is an abundant number, since it is smaller than the sum of its proper divisors (30413308475760).

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

13822808802960 is a wasteful number, since it uses less digits than its factorization.

13822808802960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131477 (or 131471 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 57.

The spelling of 13822808802960 in words is "thirteen trillion, eight hundred twenty-two billion, eight hundred eight million, eight hundred two thousand, nine hundred sixty".