868707659520 has 1008 divisors, whose sum is σ = 3448401429312. Its totient is φ = 208461496320.

The previous prime is 868707659489. The next prime is 868707659527. The reversal of 868707659520 is 25956707868.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (868707659527) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 364848730 + ... + 364851110.

It is an arithmetic number, because the mean of its divisors is an integer number (3421033164).

Almost surely, 2^868707659520 is an apocalyptic number.

868707659520 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 868707659520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1724200714656).

868707659520 is an abundant number, since it is smaller than the sum of its proper divisors (2579693769792).

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

868707659520 is a wasteful number, since it uses less digits than its factorization.

868707659520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2460 (or 2431 counting only the distinct ones).

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

The spelling of 868707659520 in words is "eight hundred sixty-eight billion, seven hundred seven million, six hundred fifty-nine thousand, five hundred twenty".