13991201280 has 1080 divisors, whose sum is σ = 61974563508. Its totient is φ = 3009871872.

The previous prime is 13991201267. The next prime is 13991201281. The reversal of 13991201280 is 8210219931.

It can be written as a sum of positive squares in 2 ways, for example, as 13908900096 + 82301184 = 117936^2 + 9072^2 .

It is a tau number, because it is divible by the number of its divisors (1080).

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

It is not an unprimeable number, because it can be changed into a prime (13991201281) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 823011832 + ... + 823011848.

Almost surely, 2^13991201280 is an apocalyptic number.

13991201280 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 13991201280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30987281754).

13991201280 is an abundant number, since it is smaller than the sum of its proper divisors (47983362228).

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

13991201280 is an frugal number, since it uses more digits than its factorization.

13991201280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The spelling of 13991201280 in words is "thirteen billion, nine hundred ninety-one million, two hundred one thousand, two hundred eighty".