16985060400 has 720 divisors, whose sum is σ = 72442363392. Its totient is φ = 3318374400.

The previous prime is 16985060377. The next prime is 16985060459. The reversal of 16985060400 is 406058961.

16985060400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 143 ways as a sum of consecutive naturals, for example, 17278309 + ... + 17279291.

Almost surely, 2^16985060400 is an apocalyptic number.

16985060400 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 16985060400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36221181696).

16985060400 is an abundant number, since it is smaller than the sum of its proper divisors (55457302992).

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

16985060400 is a wasteful number, since it uses less digits than its factorization.

16985060400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1050 (or 1028 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The spelling of 16985060400 in words is "sixteen billion, nine hundred eighty-five million, sixty thousand, four hundred".