16845849202560 has 1024 divisors, whose sum is σ = 66374719488000. Its totient is φ = 3548718563328.

The previous prime is 16845849202499. The next prime is 16845849202597. The reversal of 16845849202560 is 6520294854861.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 16845849202494 and 16845849202503.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1461419517 + ... + 1461431043.

It is an arithmetic number, because the mean of its divisors is an integer number (64819062000).

Almost surely, 2^{16845849202560} is an apocalyptic number.

16845849202560 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 16845849202560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33187359744000).

16845849202560 is an abundant number, since it is smaller than the sum of its proper divisors (49528870285440).

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

16845849202560 is a wasteful number, since it uses less digits than its factorization.

16845849202560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11731 (or 11719 counting only the distinct ones).

The product of its (nonzero) digits is 33177600, while the sum is 60.

The spelling of 16845849202560 in words is "sixteen trillion, eight hundred forty-five billion, eight hundred forty-nine million, two hundred two thousand, five hundred sixty".