13200278400 has 480 divisors, whose sum is σ = 49217921280. Its totient is φ = 3483648000.

The previous prime is 13200278393. The next prime is 13200278437. The reversal of 13200278400 is 487200231.

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 (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 32918200 + ... + 32918600.

It is an arithmetic number, because the mean of its divisors is an integer number (102537336).

Almost surely, 2^13200278400 is an apocalyptic number.

13200278400 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 13200278400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24608960640).

13200278400 is an abundant number, since it is smaller than the sum of its proper divisors (36017642880).

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

13200278400 is a wasteful number, since it uses less digits than its factorization.

13200278400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

Adding to 13200278400 its reverse (487200231), we get a palindrome (13687478631).

It can be divided in two parts, 13200 and 278400, that added together give a square (291600 = 540²).

The spelling of 13200278400 in words is "thirteen billion, two hundred million, two hundred seventy-eight thousand, four hundred".