86292000025 has 135 divisors (see below), whose sum is σ = 138478339293. Its totient is φ = 53298907200.

The previous prime is 86292000013. The next prime is 86292000031. The reversal of 86292000025 is 52000029268.

The square root of 86292000025 is 293755.

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

It can be written as a sum of positive squares in 4 ways, for example, as 316377369 + 85975622656 = 17787^2 + 293216^2 .

It is not a de Polignac number, because 86292000025 - 2²⁹ = 85755129113 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 791669671 + ... + 791669779.

Almost surely, 2^86292000025 is an apocalyptic number.

86292000025 is the 293755-th square number.

86292000025 is the 146878-th centered octagonal number.

It is an amenable number.

86292000025 is a deficient number, since it is larger than the sum of its proper divisors (52186339268).

86292000025 is an equidigital number, since it uses as much as digits as its factorization.

86292000025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The spelling of 86292000025 in words is "eighty-six billion, two hundred ninety-two million, twenty-five", and thus it is an aban number.