26389677601 has 27 divisors (see below), whose sum is σ = 32122767411. Its totient is φ = 21614814144.

The previous prime is 26389677563. The next prime is 26389677631. The reversal of 26389677601 is 10677698362.

It is a happy number.

The square root of 26389677601 is 162449.

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., 8099820001 + 18289857600 = 89999^2 + 135240^2 .

It is not a de Polignac number, because 26389677601 - 2¹³ = 26389669409 is a prime.

It is a super-2 number, since 2×26389677601² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (26389677631) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 26153785 + ... + 26154793.

Almost surely, 2^26389677601 is an apocalyptic number.

26389677601 is the 162449-th square number.

26389677601 is the 81225-th centered octagonal number.

It is an amenable number.

26389677601 is a deficient number, since it is larger than the sum of its proper divisors (5733089810).

26389677601 is an frugal number, since it uses more digits than its factorization.

26389677601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2078 (or 1039 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 55.

The spelling of 26389677601 in words is "twenty-six billion, three hundred eighty-nine million, six hundred seventy-seven thousand, six hundred one".