868532988960 has 1152 divisors, whose sum is σ = 3821757085440. Its totient is φ = 182598893568.

The previous prime is 868532988943. The next prime is 868532988989. The reversal of 868532988960 is 69889235868.

868532988960 is a `hidden beast` number, since 8 + 6 + 8 + 532 + 9 + 8 + 89 + 6 + 0 = 666.

It is a super-3 number, since 3×868532988960³ (a number of 37 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1505256192 + ... + 1505256768.

It is an arithmetic number, because the mean of its divisors is an integer number (3317497470).

Almost surely, 2^868532988960 is an apocalyptic number.

868532988960 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 868532988960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1910878542720).

868532988960 is an abundant number, since it is smaller than the sum of its proper divisors (2953224096480).

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

868532988960 is a wasteful number, since it uses less digits than its factorization.

868532988960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1175 (or 1154 counting only the distinct ones).

The product of its (nonzero) digits is 358318080, while the sum is 72.

The spelling of 868532988960 in words is "eight hundred sixty-eight billion, five hundred thirty-two million, nine hundred eighty-eight thousand, nine hundred sixty".