868966382592 has 2376 divisors, whose sum is σ = 3615144798720. Its totient is φ = 206928691200.

The previous prime is 868966382527. The next prime is 868966382593. The reversal of 868966382592 is 295283669868.

868966382592 is a `hidden beast` number, since 86 + 89 + 6 + 6 + 382 + 5 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (2376).

It is a super-2 number, since 2×868966382592² (a number of 25 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 868966382592.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (868966382593) by changing a digit.

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 215 ways as a sum of consecutive naturals, for example, 28031173617 + ... + 28031173647.

Almost surely, 2^868966382592 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 868966382592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1807572399360).

868966382592 is an abundant number, since it is smaller than the sum of its proper divisors (2746178416128).

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

868966382592 is a wasteful number, since it uses less digits than its factorization.

868966382592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 73 counting only the distinct ones).

The product of its digits is 537477120, while the sum is 72.

The spelling of 868966382592 in words is "eight hundred sixty-eight billion, nine hundred sixty-six million, three hundred eighty-two thousand, five hundred ninety-two".