13875523706880 has 1792 divisors, whose sum is σ = 57231140198400. Its totient is φ = 3157021163520.

The previous prime is 13875523706827. The next prime is 13875523706899. The reversal of 13875523706880 is 8860732557831.

13875523706880 is a `hidden beast` number, since 1 + 3 + 8 + 7 + 552 + 3 + 70 + 6 + 8 + 8 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13053173229 + ... + 13053174291.

It is an arithmetic number, because the mean of its divisors is an integer number (31937020200).

Almost surely, 2^{13875523706880} is an apocalyptic number.

13875523706880 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 13875523706880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28615570099200).

13875523706880 is an abundant number, since it is smaller than the sum of its proper divisors (43355616491520).

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

13875523706880 is a wasteful number, since it uses less digits than its factorization.

13875523706880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1180 (or 1150 counting only the distinct ones).

The product of its (nonzero) digits is 67737600, while the sum is 63.

The spelling of 13875523706880 in words is "thirteen trillion, eight hundred seventy-five billion, five hundred twenty-three million, seven hundred six thousand, eight hundred eighty".