26873666825 has 24 divisors (see below), whose sum is σ = 33477838680. Its totient is φ = 21399436800.

The previous prime is 26873666797. The next prime is 26873666839. The reversal of 26873666825 is 52866637862.

It can be written as a sum of positive squares in 12 ways, for example, as 19762455241 + 7111211584 = 140579^2 + 84328^2 .

It is not a de Polignac number, because 26873666825 - 2⁶ = 26873666761 is a prime.

It is a super-2 number, since 2×26873666825² (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (59) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10037387 + ... + 10040063.

It is an arithmetic number, because the mean of its divisors is an integer number (1394909945).

Almost surely, 2^26873666825 is an apocalyptic number.

26873666825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

26873666825 is the 133850-th pentagonal number.

It is an amenable number.

26873666825 is a deficient number, since it is larger than the sum of its proper divisors (6604171855).

26873666825 is a wasteful number, since it uses less digits than its factorization.

26873666825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4397 (or 4392 counting only the distinct ones).

The product of its digits is 34836480, while the sum is 59.

The spelling of 26873666825 in words is "twenty-six billion, eight hundred seventy-three million, six hundred sixty-six thousand, eight hundred twenty-five".