13867822080 has 880 divisors, whose sum is σ = 60348442176. Its totient is φ = 2972712960.

The previous prime is 13867822043. The next prime is 13867822081. The reversal of 13867822080 is 8022876831.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13867822081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 49351540 + ... + 49351820.

Almost surely, 2^13867822080 is an apocalyptic number.

13867822080 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 13867822080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30174221088).

13867822080 is an abundant number, since it is smaller than the sum of its proper divisors (46480620096).

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

13867822080 is a wasteful number, since it uses less digits than its factorization.

13867822080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 315 counting only the distinct ones).

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

The spelling of 13867822080 in words is "thirteen billion, eight hundred sixty-seven million, eight hundred twenty-two thousand, eighty".