26724075625 has 45 divisors (see below), whose sum is σ = 36232838499. Its totient is φ = 19695468000.

The previous prime is 26724075619. The next prime is 26724075647. The reversal of 26724075625 is 52657042762.

The square root of 26724075625 is 163475.

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

It can be written as a sum of positive squares in 7 ways, for example, as 26396175961 + 327899664 = 162469^2 + 18108^2 .

It is not a de Polignac number, because 26724075625 - 2⁵ = 26724075593 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 53129124 + ... + 53129626.

Almost surely, 2^26724075625 is an apocalyptic number.

26724075625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

26724075625 is the 163475-th square number.

26724075625 is the 81738-th centered octagonal number.

It is an amenable number.

26724075625 is a deficient number, since it is larger than the sum of its proper divisors (9508762874).

26724075625 is an frugal number, since it uses more digits than its factorization.

26724075625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1052 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 46.

The spelling of 26724075625 in words is "twenty-six billion, seven hundred twenty-four million, seventy-five thousand, six hundred twenty-five".