66099582927225 has 81 divisors (see below), whose sum is σ = 125769519489133. Its totient is φ = 33178357827840.

The previous prime is 66099582927193. The next prime is 66099582927229. The reversal of 66099582927225 is 52272928599066.

The square root of 66099582927225 is 8130165.

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

66099582927225 is a `hidden beast` number, since 6 + 60 + 9 + 9 + 58 + 292 + 7 + 225 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1546135572969 + 64553447354256 = 1243437^2 + 8034516^2 .

It is not a de Polignac number, because 66099582927225 - 2⁵ = 66099582927193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (66099582927229) 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, 2073176134 + ... + 2073208016.

Almost surely, 2^{66099582927225} is an apocalyptic number.

66099582927225 is the 8130165-th square number.

66099582927225 is the 4065083-rd centered octagonal number.

It is an amenable number.

66099582927225 is a deficient number, since it is larger than the sum of its proper divisors (59669936561908).

66099582927225 is an frugal number, since it uses more digits than its factorization.

66099582927225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63816 (or 31908 counting only the distinct ones).

The product of its (nonzero) digits is 587865600, while the sum is 72.

The spelling of 66099582927225 in words is "sixty-six trillion, ninety-nine billion, five hundred eighty-two million, nine hundred twenty-seven thousand, two hundred twenty-five".