13816772800 has 84 divisors (see below), whose sum is σ = 34021065816. Its totient is φ = 5522944000.

The previous prime is 13816772791. The next prime is 13816772803. The reversal of 13816772800 is 827761831.

It is not an unprimeable number, because it can be changed into a prime (13816772803) 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, 4480059 + ... + 4483141.

Almost surely, 2^13816772800 is an apocalyptic number.

13816772800 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 13816772800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17010532908).

13816772800 is an abundant number, since it is smaller than the sum of its proper divisors (20204293016).

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

13816772800 is a wasteful number, since it uses less digits than its factorization.

13816772800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5906 (or 5891 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 43.

The spelling of 13816772800 in words is "thirteen billion, eight hundred sixteen million, seven hundred seventy-two thousand, eight hundred".