86126288180625 has 405 divisors, whose sum is σ = 198894590795901. Its totient is φ = 35770470120000.

The previous prime is 86126288180567. The next prime is 86126288180633. The reversal of 86126288180625 is 52608188262168.

The square root of 86126288180625 is 9280425.

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

86126288180625 is a `hidden beast` number, since 8 + 61 + 262 + 88 + 180 + 62 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6752300993361 + 79373987187264 = 2598519^2 + 8909208^2 .

It is not a de Polignac number, because 86126288180625 - 2¹¹ = 86126288178577 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 53594453572 + ... + 53594455178.

Almost surely, 2^{86126288180625} is an apocalyptic number.

86126288180625 is the 9280425-th square number.

86126288180625 is the 4640213-rd centered octagonal number.

It is an amenable number.

86126288180625 is an abundant number, since it is smaller than the sum of its proper divisors (112768302615276).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

86126288180625 is an equidigital number, since it uses as much as digits as its factorization.

86126288180625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3276 (or 1633 counting only the distinct ones).

The product of its (nonzero) digits is 35389440, while the sum is 63.

The spelling of 86126288180625 in words is "eighty-six trillion, one hundred twenty-six billion, two hundred eighty-eight million, one hundred eighty thousand, six hundred twenty-five".