13722094800 has 180 divisors, whose sum is σ = 47936740384. Its totient is φ = 3634848000.

The previous prime is 13722094787. The next prime is 13722094801. The reversal of 13722094800 is 849022731.

13722094800 is a `hidden beast` number, since 1 + 372 + 209 + 4 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13722094801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 530979 + ... + 556221.

Almost surely, 2^13722094800 is an apocalyptic number.

13722094800 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 13722094800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23968370192).

13722094800 is an abundant number, since it is smaller than the sum of its proper divisors (34214645584).

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

13722094800 is a wasteful number, since it uses less digits than its factorization.

13722094800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25418 (or 25404 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 13722094800 in words is "thirteen billion, seven hundred twenty-two million, ninety-four thousand, eight hundred".