27642936099025 has 81 divisors (see below), whose sum is σ = 37945345073043. Its totient is φ = 19967311852800.

The previous prime is 27642936099019. The next prime is 27642936099029. The reversal of 27642936099025 is 52099063924672.

The square root of 27642936099025 is 5257655.

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

It can be written as a sum of positive squares in 13 ways, for example, as 21252920587921 + 6390015511104 = 4610089^2 + 2527848^2 .

It is not a de Polignac number, because 27642936099025 - 2²¹ = 27642934001873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (27642936099029) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 16062135165 + ... + 16062136885.

Almost surely, 2^{27642936099025} is an apocalyptic number.

27642936099025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

27642936099025 is the 5257655-th square number.

27642936099025 is the 2628828-th centered octagonal number.

It is an amenable number.

27642936099025 is a deficient number, since it is larger than the sum of its proper divisors (10302408974018).

27642936099025 is an frugal number, since it uses more digits than its factorization.

27642936099025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3572 (or 1786 counting only the distinct ones).

The product of its (nonzero) digits is 88179840, while the sum is 64.

The spelling of 27642936099025 in words is "twenty-seven trillion, six hundred forty-two billion, nine hundred thirty-six million, ninety-nine thousand, twenty-five".