13275340800 has 672 divisors, whose sum is σ = 49145854464. Its totient is φ = 3145728000.

The previous prime is 13275340787. The next prime is 13275340807. The reversal of 13275340800 is 804357231.

It is a super-2 number, since 2×13275340800² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13275340807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 323788780 + ... + 323788820.

It is an arithmetic number, because the mean of its divisors is an integer number (73133712).

Almost surely, 2^13275340800 is an apocalyptic number.

13275340800 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 13275340800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24572927232).

13275340800 is an abundant number, since it is smaller than the sum of its proper divisors (35870513664).

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

13275340800 is a wasteful number, since it uses less digits than its factorization.

13275340800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The spelling of 13275340800 in words is "thirteen billion, two hundred seventy-five million, three hundred forty thousand, eight hundred".