13288008400 has 60 divisors (see below), whose sum is σ = 31944451084. Its totient is φ = 5311872000.

The previous prime is 13288008341. The next prime is 13288008403. The reversal of 13288008400 is 480088231.

It can be written as a sum of positive squares in 6 ways, for example, as 5500298896 + 7787709504 = 74164^2 + 88248^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13288008403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 686860 + ... + 705940.

Almost surely, 2^13288008400 is an apocalyptic number.

13288008400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13288008400 is an abundant number, since it is smaller than the sum of its proper divisors (18656442684).

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

13288008400 is a wasteful number, since it uses less digits than its factorization.

13288008400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20840 (or 20829 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 34.

The spelling of 13288008400 in words is "thirteen billion, two hundred eighty-eight million, eight thousand, four hundred".