26584976401 has 9 divisors (see below), whose sum is σ = 26862558249. Its totient is φ = 26310238836.

The previous prime is 26584976387. The next prime is 26584976413. The reversal of 26584976401 is 10467948562.

The square root of 26584976401 is 163049.

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

It is not a de Polignac number, because 26584976401 - 2²¹ = 26582879249 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (26584976441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 16793256 + ... + 16794838.

Almost surely, 2^26584976401 is an apocalyptic number.

26584976401 is the 163049-th square number.

26584976401 is the 81525-th centered octagonal number.

It is an amenable number.

26584976401 is a deficient number, since it is larger than the sum of its proper divisors (277581848).

26584976401 is an frugal number, since it uses more digits than its factorization.

26584976401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3372 (or 1686 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 52.

The spelling of 26584976401 in words is "twenty-six billion, five hundred eighty-four million, nine hundred seventy-six thousand, four hundred one".