13807138108080 has 80 divisors (see below), whose sum is σ = 42806127732480. Its totient is φ = 3681559444224.

The previous prime is 13807138108061. The next prime is 13807138108133. The reversal of 13807138108080 is 8080183170831.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×13807138108080² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109020 + ... + 5256059.

It is an arithmetic number, because the mean of its divisors is an integer number (535076596656).

Almost surely, 2^{13807138108080} is an apocalyptic number.

13807138108080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13807138108080 is an abundant number, since it is smaller than the sum of its proper divisors (28998989624400).

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

13807138108080 is a wasteful number, since it uses less digits than its factorization.

13807138108080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5375818 (or 5375812 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 48.

The spelling of 13807138108080 in words is "thirteen trillion, eight hundred seven billion, one hundred thirty-eight million, one hundred eight thousand, eighty".