16900585728 has 432 divisors, whose sum is σ = 53249797440. Its totient is φ = 4715642880.

The previous prime is 16900585651. The next prime is 16900585789. The reversal of 16900585728 is 82758500961.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 318878950 + ... + 318879002.

It is an arithmetic number, because the mean of its divisors is an integer number (123263420).

Almost surely, 2^16900585728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16900585728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26624898720).

16900585728 is an abundant number, since it is smaller than the sum of its proper divisors (36349211712).

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

16900585728 is a wasteful number, since it uses less digits than its factorization.

16900585728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 51.

The spelling of 16900585728 in words is "sixteen billion, nine hundred million, five hundred eighty-five thousand, seven hundred twenty-eight".