16781549506560 has 624 divisors, whose sum is σ = 59276813326848. Its totient is φ = 4390236979200.

The previous prime is 16781549506529. The next prime is 16781549506613. The reversal of 16781549506560 is 6560594518761.

16781549506560 is a `hidden beast` number, since 1 + 6 + 7 + 8 + 15 + 4 + 9 + 50 + 6 + 560 = 666.

It is a super-2 number, since 2×16781549506560² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4845955389 + ... + 4845958851.

It is an arithmetic number, because the mean of its divisors is an integer number (94994893152).

Almost surely, 2^{16781549506560} is an apocalyptic number.

16781549506560 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 16781549506560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29638406663424).

16781549506560 is an abundant number, since it is smaller than the sum of its proper divisors (42495263820288).

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

16781549506560 is a wasteful number, since it uses less digits than its factorization.

16781549506560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3990 (or 3965 counting only the distinct ones).

The product of its (nonzero) digits is 54432000, while the sum is 63.

The spelling of 16781549506560 in words is "sixteen trillion, seven hundred eighty-one billion, five hundred forty-nine million, five hundred six thousand, five hundred sixty".