8085292516125 has 640 divisors, whose sum is σ = 18411076569600. Its totient is φ = 3479417856000.

The previous prime is 8085292516111. The next prime is 8085292516139. The reversal of 8085292516125 is 5216152925808.

8085292516125 is a `hidden beast` number, since 8 + 0 + 8 + 529 + 2 + 51 + 61 + 2 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (8085292516111) and next prime (8085292516139).

It is not a de Polignac number, because 8085292516125 - 2⁴ = 8085292516109 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 11403797271 + ... + 11403797979.

It is an arithmetic number, because the mean of its divisors is an integer number (28767307140).

Almost surely, 2^{8085292516125} is an apocalyptic number.

8085292516125 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

8085292516125 is an abundant number, since it is smaller than the sum of its proper divisors (10325784053475).

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

8085292516125 is a wasteful number, since it uses less digits than its factorization.

8085292516125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1100 (or 1081 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 54.

The spelling of 8085292516125 in words is "eight trillion, eighty-five billion, two hundred ninety-two million, five hundred sixteen thousand, one hundred twenty-five".