16042353600 has 672 divisors, whose sum is σ = 68222855680. Its totient is φ = 3204956160.

The previous prime is 16042353563. The next prime is 16042353623. The reversal of 16042353600 is 635324061.

16042353600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 8298234 + ... + 8300166.

Almost surely, 2^16042353600 is an apocalyptic number.

16042353600 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 16042353600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34111427840).

16042353600 is an abundant number, since it is smaller than the sum of its proper divisors (52180502080).

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

16042353600 is a wasteful number, since it uses less digits than its factorization.

16042353600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1997 (or 1982 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

Adding to 16042353600 its reverse (635324061), we get a palindrome (16677677661).

The spelling of 16042353600 in words is "sixteen billion, forty-two million, three hundred fifty-three thousand, six hundred".