13995828000 has 1728 divisors, whose sum is σ = 68514211584. Its totient is φ = 2737152000.

The previous prime is 13995827999. The next prime is 13995828023. The reversal of 13995828000 is 82859931.

It is a happy number.

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 287 ways as a sum of consecutive naturals, for example, 823283992 + ... + 823284008.

It is an arithmetic number, because the mean of its divisors is an integer number (39649428).

Almost surely, 2^13995828000 is an apocalyptic number.

13995828000 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 13995828000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34257105792).

13995828000 is an abundant number, since it is smaller than the sum of its proper divisors (54518383584).

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

13995828000 is a wasteful number, since it uses less digits than its factorization.

13995828000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 13995828000 in words is "thirteen billion, nine hundred ninety-five million, eight hundred twenty-eight thousand".