16021306141056 has 768 divisors, whose sum is σ = 51729616673280. Its totient is φ = 4922859110400.

The previous prime is 16021306141013. The next prime is 16021306141069. The reversal of 16021306141056 is 65014160312061.

16021306141056 is a `hidden beast` number, since 1 + 6 + 0 + 2 + 1 + 30 + 614 + 1 + 0 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 16021306141056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2434475686 + ... + 2434482266.

It is an arithmetic number, because the mean of its divisors is an integer number (67356271710).

Almost surely, 2^{16021306141056} is an apocalyptic number.

16021306141056 is a gapful number since it is divisible by the number (16) 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 16021306141056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25864808336640).

16021306141056 is an abundant number, since it is smaller than the sum of its proper divisors (35708310532224).

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

16021306141056 is an equidigital number, since it uses as much as digits as its factorization.

16021306141056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6757 (or 6733 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 16021306141056 in words is "sixteen trillion, twenty-one billion, three hundred six million, one hundred forty-one thousand, fifty-six".