16265110400 has 576 divisors, whose sum is σ = 53594382240. Its totient is φ = 4757913600.

The previous prime is 16265110313. The next prime is 16265110403. The reversal of 16265110400 is 401156261.

16265110400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 16265110400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16265110403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 46076624 + ... + 46076976.

Almost surely, 2^16265110400 is an apocalyptic number.

16265110400 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 16265110400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26797191120).

16265110400 is an abundant number, since it is smaller than the sum of its proper divisors (37329271840).

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

16265110400 is a wasteful number, since it uses less digits than its factorization.

16265110400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

Adding to 16265110400 its reverse (401156261), we get a palindrome (16666266661).

The spelling of 16265110400 in words is "sixteen billion, two hundred sixty-five million, one hundred ten thousand, four hundred".