13753399200 has 144 divisors (see below), whose sum is σ = 44805319776. Its totient is φ = 3664460800.

The previous prime is 13753399193. The next prime is 13753399207. The reversal of 13753399200 is 299335731.

It is an interprime number because it is at equal distance from previous prime (13753399193) and next prime (13753399207).

It is not an unprimeable number, because it can be changed into a prime (13753399207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4805770 + ... + 4808630.

It is an arithmetic number, because the mean of its divisors is an integer number (311148054).

Almost surely, 2^13753399200 is an apocalyptic number.

13753399200 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 13753399200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22402659888).

13753399200 is an abundant number, since it is smaller than the sum of its proper divisors (31051920576).

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

13753399200 is a wasteful number, since it uses less digits than its factorization.

13753399200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4887 (or 4874 counting only the distinct ones).

The product of its (nonzero) digits is 153090, while the sum is 42.

The spelling of 13753399200 in words is "thirteen billion, seven hundred fifty-three million, three hundred ninety-nine thousand, two hundred".