26721460089 has 45 divisors (see below), whose sum is σ = 41007146719. Its totient is φ = 17340579360.

The previous prime is 26721460079. The next prime is 26721460109. The reversal of 26721460089 is 98006412762.

It is a happy number.

The square root of 26721460089 is 163467.

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

26721460089 is a `hidden beast` number, since 26 + 7 + 2 + 14 + 600 + 8 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1287589689 + 25433870400 = 35883^2 + 159480^2 .

It is not a de Polignac number, because 26721460089 - 2²¹ = 26719362937 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (26721460039) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 60319102 + ... + 60319544.

Almost surely, 2^26721460089 is an apocalyptic number.

26721460089 is the 163467-th square number.

26721460089 is the 81734-th centered octagonal number.

It is an amenable number.

26721460089 is a deficient number, since it is larger than the sum of its proper divisors (14285686630).

26721460089 is an frugal number, since it uses more digits than its factorization.

26721460089 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 980 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 26721460089 in words is "twenty-six billion, seven hundred twenty-one million, four hundred sixty thousand, eighty-nine".