8025914806272 has 1248 divisors, whose sum is σ = 27672579244800. Its totient is φ = 2292362772480.

The previous prime is 8025914806229. The next prime is 8025914806303. The reversal of 8025914806272 is 2726084195208.

8025914806272 is a `hidden beast` number, since 8 + 0 + 2 + 5 + 9 + 1 + 4 + 8 + 0 + 627 + 2 = 666.

It is a super-2 number, since 2×8025914806272² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27392200558 + ... + 27392200850.

Almost surely, 2^{8025914806272} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8025914806272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13836289622400).

8025914806272 is an abundant number, since it is smaller than the sum of its proper divisors (19646664438528).

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

8025914806272 is a wasteful number, since it uses less digits than its factorization.

8025914806272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 8025914806272 in words is "eight trillion, twenty-five billion, nine hundred fourteen million, eight hundred six thousand, two hundred seventy-two".