16254046638720 has 2048 divisors, whose sum is σ = 69921460224000. Its totient is φ = 3523461120000.

The previous prime is 16254046638691. The next prime is 16254046638763. The reversal of 16254046638720 is 2783664045261.

16254046638720 is a `hidden beast` number, since 1 + 6 + 2 + 540 + 4 + 66 + 38 + 7 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 255 ways as a sum of consecutive naturals, for example, 4590240150 + ... + 4590243690.

It is an arithmetic number, because the mean of its divisors is an integer number (34141338000).

Almost surely, 2^{16254046638720} is an apocalyptic number.

16254046638720 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 16254046638720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34960730112000).

16254046638720 is an abundant number, since it is smaller than the sum of its proper divisors (53667413585280).

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

16254046638720 is a wasteful number, since it uses less digits than its factorization.

16254046638720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3671 (or 3653 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 16254046638720 in words is "sixteen trillion, two hundred fifty-four billion, forty-six million, six hundred thirty-eight thousand, seven hundred twenty".