13975390880 has 96 divisors (see below), whose sum is σ = 36190058688. Its totient is φ = 5057740800.

The previous prime is 13975390867. The next prime is 13975390883. The reversal of 13975390880 is 8809357931.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (13975390883) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 352544 + ... + 390176.

It is an arithmetic number, because the mean of its divisors is an integer number (376979778).

Almost surely, 2^13975390880 is an apocalyptic number.

13975390880 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 13975390880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18095029344).

13975390880 is an abundant number, since it is smaller than the sum of its proper divisors (22214667808).

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

13975390880 is a wasteful number, since it uses less digits than its factorization.

13975390880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37870 (or 37862 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 53.

The spelling of 13975390880 in words is "thirteen billion, nine hundred seventy-five million, three hundred ninety thousand, eight hundred eighty".