16810672560 has 480 divisors, whose sum is σ = 62044600320. Its totient is φ = 3729715200.

The previous prime is 16810672559. The next prime is 16810672573. The reversal of 16810672560 is 6527601861.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29543956 + ... + 29544524.

It is an arithmetic number, because the mean of its divisors is an integer number (129259584).

Almost surely, 2^16810672560 is an apocalyptic number.

16810672560 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 16810672560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31022300160).

16810672560 is an abundant number, since it is smaller than the sum of its proper divisors (45233927760).

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

16810672560 is a wasteful number, since it uses less digits than its factorization.

16810672560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The spelling of 16810672560 in words is "sixteen billion, eight hundred ten million, six hundred seventy-two thousand, five hundred sixty".