26185388761 has 9 divisors (see below), whose sum is σ = 30461871999. Its totient is φ = 22443648024.

The previous prime is 26185388753. The next prime is 26185388777. The reversal of 26185388761 is 16788358162.

The square root of 26185388761 is 161819.

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

It can be written as a sum of positive squares in only one way, i.e., 20385225 + 26165003536 = 4515^2 + 161756^2 .

It is not a de Polignac number, because 26185388761 - 2³ = 26185388753 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (26185388161) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1121175 + ... + 1144291.

Almost surely, 2^26185388761 is an apocalyptic number.

26185388761 is the 161819-th square number.

26185388761 is the 80910-th centered octagonal number.

It is an amenable number.

26185388761 is a deficient number, since it is larger than the sum of its proper divisors (4276483238).

26185388761 is an frugal number, since it uses more digits than its factorization.

26185388761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46248 (or 23124 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 55.

The spelling of 26185388761 in words is "twenty-six billion, one hundred eighty-five million, three hundred eighty-eight thousand, seven hundred sixty-one".