27909719191225 has 27 divisors (see below), whose sum is σ = 34714666502607. Its totient is φ = 22259202467280.

The previous prime is 27909719191199. The next prime is 27909719191253. The reversal of 27909719191225 is 52219191790972.

The square root of 27909719191225 is 5282965.

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., 10047498908841 + 17862220282384 = 3169779^2 + 4226372^2 .

It is a de Polignac number, because none of the positive numbers 2^k-27909719191225 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 9694239336 + ... + 9694242214.

Almost surely, 2^{27909719191225} is an apocalyptic number.

27909719191225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

27909719191225 is the 5282965-th square number.

27909719191225 is the 2641483-rd centered octagonal number.

It is an amenable number.

27909719191225 is a deficient number, since it is larger than the sum of its proper divisors (6804947311382).

27909719191225 is an frugal number, since it uses more digits than its factorization.

27909719191225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6502 (or 3251 counting only the distinct ones).

The product of its (nonzero) digits is 12859560, while the sum is 64.

The spelling of 27909719191225 in words is "twenty-seven trillion, nine hundred nine billion, seven hundred nineteen million, one hundred ninety-one thousand, two hundred twenty-five".