13807918080 has 264 divisors, whose sum is σ = 52195454064. Its totient is φ = 3347251200.

The previous prime is 13807918057. The next prime is 13807918129. The reversal of 13807918080 is 8081970831.

It is a tau number, because it is divible by the number of its divisors (264).

It is a super-3 number, since 3×13807918080³ (a number of 31 digits) contains 333 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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 493260 + ... + 520500.

Almost surely, 2^13807918080 is an apocalyptic number.

13807918080 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 13807918080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26097727032).

13807918080 is an abundant number, since it is smaller than the sum of its proper divisors (38387535984).

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

13807918080 is a wasteful number, since it uses less digits than its factorization.

13807918080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27283 (or 27262 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The spelling of 13807918080 in words is "thirteen billion, eight hundred seven million, nine hundred eighteen thousand, eighty".