13865922000 has 720 divisors, whose sum is σ = 57335616000. Its totient is φ = 3113510400.

The previous prime is 13865921987. The next prime is 13865922073. The reversal of 13865922000 is 22956831.

13865922000 is a `hidden beast` number, since 1 + 386 + 59 + 220 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 69677901 + ... + 69678099.

It is an arithmetic number, because the mean of its divisors is an integer number (79632800).

Almost surely, 2^13865922000 is an apocalyptic number.

13865922000 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 13865922000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28667808000).

13865922000 is an abundant number, since it is smaller than the sum of its proper divisors (43469694000).

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

13865922000 is a wasteful number, since it uses less digits than its factorization.

13865922000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 13865922000 in words is "thirteen billion, eight hundred sixty-five million, nine hundred twenty-two thousand".