8287265273760 has 1152 divisors, whose sum is σ = 32441221612800. Its totient is φ = 1981140664320.

The previous prime is 8287265273737. The next prime is 8287265273779. The reversal of 8287265273760 is 673725627828.

8287265273760 is a `hidden beast` number, since 8 + 2 + 8 + 72 + 6 + 527 + 37 + 6 + 0 = 666.

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 191 ways as a sum of consecutive naturals, for example, 18134059452 + ... + 18134059908.

It is an arithmetic number, because the mean of its divisors is an integer number (28160782650).

Almost surely, 2^{8287265273760} is an apocalyptic number.

8287265273760 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 8287265273760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16220610806400).

8287265273760 is an abundant number, since it is smaller than the sum of its proper divisors (24153956339040).

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

8287265273760 is a wasteful number, since it uses less digits than its factorization.

8287265273760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 996 (or 976 counting only the distinct ones).

The product of its (nonzero) digits is 94832640, while the sum is 63.

The spelling of 8287265273760 in words is "eight trillion, two hundred eighty-seven billion, two hundred sixty-five million, two hundred seventy-three thousand, seven hundred sixty".