13875040080 has 240 divisors, whose sum is σ = 51119228160. Its totient is φ = 3344716800.

The previous prime is 13875040043. The next prime is 13875040087. The reversal of 13875040080 is 8004057831.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13875040087) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1428681 + ... + 1438359.

It is an arithmetic number, because the mean of its divisors is an integer number (212996784).

Almost surely, 2^13875040080 is an apocalyptic number.

13875040080 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 13875040080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25559614080).

13875040080 is an abundant number, since it is smaller than the sum of its proper divisors (37244188080).

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

13875040080 is a wasteful number, since it uses less digits than its factorization.

13875040080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9890 (or 9881 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 13875040080 in words is "thirteen billion, eight hundred seventy-five million, forty thousand, eighty".