16890249600 has 1152 divisors, whose sum is σ = 74582726400. Its totient is φ = 3692666880.

The previous prime is 16890249599. The next prime is 16890249601. The reversal of 16890249600 is 694209861.

It is a happy number.

16890249600 is a `hidden beast` number, since 16 + 8 + 9 + 0 + 24 + 9 + 600 = 666.

16890249600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (16890249599) and next prime (16890249601).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16890249601) 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 143 ways as a sum of consecutive naturals, for example, 157852747 + ... + 157852853.

It is an arithmetic number, because the mean of its divisors is an integer number (64741950).

Almost surely, 2^16890249600 is an apocalyptic number.

16890249600 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 16890249600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37291363200).

16890249600 is an abundant number, since it is smaller than the sum of its proper divisors (57692476800).

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

16890249600 is a wasteful number, since it uses less digits than its factorization.

16890249600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 16890249600 in words is "sixteen billion, eight hundred ninety million, two hundred forty-nine thousand, six hundred".