16545271680 has 512 divisors, whose sum is σ = 68547916800. Its totient is φ = 3692666880.

The previous prime is 16545271657. The next prime is 16545271693. The reversal of 16545271680 is 8617254561.

16545271680 is a `hidden beast` number, since 1 + 6 + 545 + 27 + 1 + 6 + 80 = 666.

16545271680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 63 ways as a sum of consecutive naturals, for example, 5199690 + ... + 5202870.

It is an arithmetic number, because the mean of its divisors is an integer number (133882650).

Almost surely, 2^16545271680 is an apocalyptic number.

16545271680 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 16545271680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34273958400).

16545271680 is an abundant number, since it is smaller than the sum of its proper divisors (52002645120).

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

16545271680 is a wasteful number, since it uses less digits than its factorization.

16545271680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3259 (or 3241 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 16545271680 in words is "sixteen billion, five hundred forty-five million, two hundred seventy-one thousand, six hundred eighty".