865240949042568 has 288 divisors, whose sum is σ = 2779157200248000. Its totient is φ = 238050560323584.

The previous prime is 865240949042563. The next prime is 865240949042593.

865240949042568 is a `hidden beast` number, since 8 + 6 + 5 + 2 + 40 + 9 + 490 + 42 + 56 + 8 = 666.

865240949042568 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 865240949042496 and 865240949042505.

It is not an unprimeable number, because it can be changed into a prime (865240949042563) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 172993383 + ... + 177924681.

It is an arithmetic number, because the mean of its divisors is an integer number (9649851389750).

Almost surely, 2^{865240949042568} 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 865240949042568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1389578600124000).

865240949042568 is an abundant number, since it is smaller than the sum of its proper divisors (1913916251205432).

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

865240949042568 is a wasteful number, since it uses less digits than its factorization.

865240949042568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4931549 (or 4931445 counting only the distinct ones).

The product of its (nonzero) digits is 1194393600, while the sum is 72.

The spelling of 865240949042568 in words is "eight hundred sixty-five trillion, two hundred forty billion, nine hundred forty-nine million, forty-two thousand, five hundred sixty-eight".