8272517467960 has 96 divisors (see below), whose sum is σ = 19461974399280. Its totient is φ = 3164428467200.

The previous prime is 8272517467939. The next prime is 8272517468011. The reversal of 8272517467960 is 697647152728.

It is a junction number, because it is equal to n+sod(n) for n = 8272517467892 and 8272517467901.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99854955 + ... + 99937765.

Almost surely, 2^{8272517467960} 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 8272517467960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9730987199640).

8272517467960 is an abundant number, since it is smaller than the sum of its proper divisors (11189456931320).

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

8272517467960 is a wasteful number, since it uses less digits than its factorization.

8272517467960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87589 (or 87562 counting only the distinct ones).

The product of its (nonzero) digits is 71124480, while the sum is 64.

The spelling of 8272517467960 in words is "eight trillion, two hundred seventy-two billion, five hundred seventeen million, four hundred sixty-seven thousand, nine hundred sixty".