25630799659969 has 27 divisors (see below), whose sum is σ = 29949628672233. Its totient is φ = 21870807840000.

The previous prime is 25630799659951. The next prime is 25630799659987. The reversal of 25630799659969 is 96995699703652.

The square root of 25630799659969 is 5062687.

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

It is an interprime number because it is at equal distance from previous prime (25630799659951) and next prime (25630799659987).

It can be written as a sum of positive squares in 4 ways, for example, as 2269430770369 + 23361368889600 = 1506463^2 + 4833360^2 .

It is not a de Polignac number, because 25630799659969 - 2⁷ = 25630799659841 is a prime.

It is a super-2 number, since 2×25630799659969² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (25630799659909) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 8540751469 + ... + 8540754469.

It is an arithmetic number, because the mean of its divisors is an integer number (1109245506379).

Almost surely, 2^{25630799659969} is an apocalyptic number.

25630799659969 is the 5062687-th square number.

25630799659969 is the 2531344-th centered octagonal number.

It is an amenable number.

25630799659969 is a deficient number, since it is larger than the sum of its proper divisors (4318829012264).

25630799659969 is an frugal number, since it uses more digits than its factorization.

25630799659969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6498 (or 3249 counting only the distinct ones).

The product of its (nonzero) digits is 13392313200, while the sum is 85.

The spelling of 25630799659969 in words is "twenty-five trillion, six hundred thirty billion, seven hundred ninety-nine million, six hundred fifty-nine thousand, nine hundred sixty-nine".