8257025526960 has 1280 divisors, whose sum is σ = 31904929382400. Its totient is φ = 1762586542080.

The previous prime is 8257025526917. The next prime is 8257025526961. The reversal of 8257025526960 is 696255207528.

It is a self number, because there is not a number n which added to its sum of digits gives 8257025526960.

It is not an unprimeable number, because it can be changed into a prime (8257025526961) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 14824103002 + ... + 14824103558.

It is an arithmetic number, because the mean of its divisors is an integer number (24925726080).

Almost surely, 2^{8257025526960} is an apocalyptic number.

8257025526960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8257025526960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15952464691200).

8257025526960 is an abundant number, since it is smaller than the sum of its proper divisors (23647903855440).

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

8257025526960 is a wasteful number, since it uses less digits than its factorization.

8257025526960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 819 (or 799 counting only the distinct ones).

The product of its (nonzero) digits is 18144000, while the sum is 57.

The spelling of 8257025526960 in words is "eight trillion, two hundred fifty-seven billion, twenty-five million, five hundred twenty-six thousand, nine hundred sixty".