2165680140625 has 63 divisors (see below), whose sum is σ = 2766504998439. Its totient is φ = 1695312000000.

The previous prime is 2165680140577. The next prime is 2165680140661. The reversal of 2165680140625 is 5260410865612.

The square root of 2165680140625 is 1471625.

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

It can be written as a sum of positive squares in 31 ways, for example, as 525600350289 + 1640079790336 = 724983^2 + 1280656^2 .

It is not a de Polignac number, because 2165680140625 - 2³⁷ = 2028241187153 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 11221140529 + ... + 11221140721.

It is an arithmetic number, because the mean of its divisors is an integer number (43912777753).

Almost surely, 2^{2165680140625} is an apocalyptic number.

2165680140625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2165680140625 is the 1471625-th square number.

2165680140625 is the 735813-rd centered octagonal number.

It is an amenable number.

2165680140625 is a deficient number, since it is larger than the sum of its proper divisors (600824857814).

2165680140625 is an frugal number, since it uses more digits than its factorization.

2165680140625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 46.

The spelling of 2165680140625 in words is "two trillion, one hundred sixty-five billion, six hundred eighty million, one hundred forty thousand, six hundred twenty-five".