897567082560 has 896 divisors, whose sum is σ = 3432642969600. Its totient is φ = 219967488000.

The previous prime is 897567082547. The next prime is 897567082579. The reversal of 897567082560 is 65280765798.

897567082560 is a `hidden beast` number, since 8 + 9 + 7 + 5 + 67 + 0 + 8 + 2 + 560 = 666.

It is a super-3 number, since 3×897567082560³ (a number of 37 digits) contains 333 as substring.

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 127 ways as a sum of consecutive naturals, for example, 1195162185 + ... + 1195162935.

Almost surely, 2^897567082560 is an apocalyptic number.

897567082560 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 897567082560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1716321484800).

897567082560 is an abundant number, since it is smaller than the sum of its proper divisors (2535075887040).

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

897567082560 is a wasteful number, since it uses less digits than its factorization.

897567082560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 976 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 50803200, while the sum is 63.

The spelling of 897567082560 in words is "eight hundred ninety-seven billion, five hundred sixty-seven million, eighty-two thousand, five hundred sixty".