13985823600 has 360 divisors, whose sum is σ = 57260716032. Its totient is φ = 3093465600.

The previous prime is 13985823589. The next prime is 13985823623. The reversal of 13985823600 is 632858931.

It is a happy number.

13985823600 is a `hidden beast` number, since 1 + 3 + 9 + 8 + 582 + 3 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 772249 + ... + 790151.

Almost surely, 2^13985823600 is an apocalyptic number.

13985823600 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 13985823600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28630358016).

13985823600 is an abundant number, since it is smaller than the sum of its proper divisors (43274892432).

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

13985823600 is a wasteful number, since it uses less digits than its factorization.

13985823600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17965 (or 17951 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 13985823600 in words is "thirteen billion, nine hundred eighty-five million, eight hundred twenty-three thousand, six hundred".