16399367712 has 288 divisors, whose sum is σ = 57634536960. Its totient is φ = 4307281920.

The previous prime is 16399367711. The next prime is 16399367737. The reversal of 16399367712 is 21776399361.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×16399367712² (a number of 21 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (16399367711) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7101214 + ... + 7103522.

It is an arithmetic number, because the mean of its divisors is an integer number (200119920).

Almost surely, 2^16399367712 is an apocalyptic number.

16399367712 is a gapful number since it is divisible by the number (12) 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 16399367712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28817268480).

16399367712 is an abundant number, since it is smaller than the sum of its proper divisors (41235169248).

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

16399367712 is a wasteful number, since it uses less digits than its factorization.

16399367712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2616 (or 2605 counting only the distinct ones).

The product of its digits is 2571912, while the sum is 54.

The spelling of 16399367712 in words is "sixteen billion, three hundred ninety-nine million, three hundred sixty-seven thousand, seven hundred twelve".