16667826890625 has 315 divisors, whose sum is σ = 33020318994663. Its totient is φ = 8377546500000.

The previous prime is 16667826890579. The next prime is 16667826890651. The reversal of 16667826890625 is 52609862876661.

The square root of 16667826890625 is 4082625.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 3 ways, for example, as 14602616467569 + 2065210423056 = 3821337^2 + 1437084^2 .

It is not a de Polignac number, because 16667826890625 - 2¹⁷ = 16667826759553 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 314 ways as a sum of consecutive naturals, for example, 87266109280 + ... + 87266109470.

Almost surely, 2^{16667826890625} is an apocalyptic number.

16667826890625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

16667826890625 is the 4082625-th square number.

16667826890625 is the 2041313-rd centered octagonal number.

It is an amenable number.

16667826890625 is a deficient number, since it is larger than the sum of its proper divisors (16352492104038).

16667826890625 is an frugal number, since it uses more digits than its factorization.

16667826890625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 627056640, while the sum is 72.

The spelling of 16667826890625 in words is "sixteen trillion, six hundred sixty-seven billion, eight hundred twenty-six million, eight hundred ninety thousand, six hundred twenty-five".