26679628921 has 27 divisors (see below), whose sum is σ = 30365436549. Its totient is φ = 23422812600.

The previous prime is 26679628897. The next prime is 26679628949. The reversal of 26679628921 is 12982697662.

The square root of 26679628921 is 163339.

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

It is not a de Polignac number, because 26679628921 - 2¹³ = 26679620729 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (26679628951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 55698360 + ... + 55698838.

Almost surely, 2^26679628921 is an apocalyptic number.

26679628921 is the 163339-th square number.

26679628921 is the 81670-th centered octagonal number.

It is an amenable number.

26679628921 is a deficient number, since it is larger than the sum of its proper divisors (3685807628).

26679628921 is an frugal number, since it uses more digits than its factorization.

26679628921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1042 (or 521 counting only the distinct ones).

The product of its digits is 7838208, while the sum is 58.

The spelling of 26679628921 in words is "twenty-six billion, six hundred seventy-nine million, six hundred twenty-eight thousand, nine hundred twenty-one".