13287329280 has 480 divisors, whose sum is σ = 49025433600. Its totient is φ = 3316432896.

The previous prime is 13287329273. The next prime is 13287329281. The reversal of 13287329280 is 8292378231.

13287329280 is a `hidden beast` number, since 1 + 3 + 287 + 3 + 292 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13287329281) 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, 55595401 + ... + 55595639.

It is an arithmetic number, because the mean of its divisors is an integer number (102136320).

Almost surely, 2^13287329280 is an apocalyptic number.

13287329280 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 13287329280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24512716800).

13287329280 is an abundant number, since it is smaller than the sum of its proper divisors (35738104320).

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

13287329280 is a wasteful number, since it uses less digits than its factorization.

13287329280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 13287329280 in words is "thirteen billion, two hundred eighty-seven million, three hundred twenty-nine thousand, two hundred eighty".