16820324801280 has 4320 divisors, whose sum is σ = 83343103018560. Its totient is φ = 3202726625280.

The previous prime is 16820324801207. The next prime is 16820324801317. The reversal of 16820324801280 is 8210842302861.

16820324801280 is a `hidden beast` number, since 1 + 6 + 82 + 0 + 3 + 2 + 480 + 12 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

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

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 479 ways as a sum of consecutive naturals, for example, 122776093372 + ... + 122776093508.

It is an arithmetic number, because the mean of its divisors is an integer number (19292384958).

Almost surely, 2^{16820324801280} is an apocalyptic number.

16820324801280 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 16820324801280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41671551509280).

16820324801280 is an abundant number, since it is smaller than the sum of its proper divisors (66522778217280).

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

16820324801280 is a wasteful number, since it uses less digits than its factorization.

16820324801280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 16820324801280 in words is "sixteen trillion, eight hundred twenty billion, three hundred twenty-four million, eight hundred one thousand, two hundred eighty".