10160666256400 has 135 divisors (see below), whose sum is σ = 26833778378743. Its totient is φ = 3694532723200.

The previous prime is 10160666256383. The next prime is 10160666256401. The reversal of 10160666256400 is 465266606101.

The square root of 10160666256400 is 3187580.

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

It can be written as a sum of positive squares in 4 ways, for example, as 2659991378704 + 7500674877696 = 1630948^2 + 2738736^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10160666256401) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 701260356 + ... + 701274844.

Almost surely, 2^{10160666256400} is an apocalyptic number.

10160666256400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10160666256400 is the 3187580-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10160666256400

10160666256400 is an abundant number, since it is smaller than the sum of its proper divisors (16673112122343).

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

10160666256400 is an frugal number, since it uses more digits than its factorization.

10160666256400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29018 (or 14507 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 43.

The spelling of 10160666256400 in words is "ten trillion, one hundred sixty billion, six hundred sixty-six million, two hundred fifty-six thousand, four hundred".