865506834571968 has 336 divisors, whose sum is σ = 2507707184988096. Its totient is φ = 285385914777600.

The previous prime is 865506834571957. The next prime is 865506834571991. The reversal of 865506834571968 is 869175438605568.

865506834571968 is a `hidden beast` number, since 8 + 6 + 5 + 5 + 0 + 6 + 8 + 34 + 571 + 9 + 6 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 109184660421 + ... + 109184668347.

It is an arithmetic number, because the mean of its divisors is an integer number (7463414241036).

Almost surely, 2^{865506834571968} 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 865506834571968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1253853592494048).

865506834571968 is an abundant number, since it is smaller than the sum of its proper divisors (1642200350416128).

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

865506834571968 is a wasteful number, since it uses less digits than its factorization.

865506834571968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11152 (or 11139 counting only the distinct ones).

The product of its (nonzero) digits is 10450944000, while the sum is 81.

The spelling of 865506834571968 in words is "eight hundred sixty-five trillion, five hundred six billion, eight hundred thirty-four million, five hundred seventy-one thousand, nine hundred sixty-eight".