16385689600 has 288 divisors, whose sum is σ = 46918872000. Its totient is φ = 5559091200.

The previous prime is 16385689597. The next prime is 16385689613. The reversal of 16385689600 is 698658361.

It is a super-3 number, since 3×16385689600³ (a number of 32 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46950226 + ... + 46950574.

It is an arithmetic number, because the mean of its divisors is an integer number (162912750).

Almost surely, 2^16385689600 is an apocalyptic number.

16385689600 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 16385689600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23459436000).

16385689600 is an abundant number, since it is smaller than the sum of its proper divisors (30533182400).

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

16385689600 is a wasteful number, since it uses less digits than its factorization.

16385689600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 52.

The spelling of 16385689600 in words is "sixteen billion, three hundred eighty-five million, six hundred eighty-nine thousand, six hundred".