10868760288 has 144 divisors (see below), whose sum is σ = 31318730352. Its totient is φ = 3575040000.

The previous prime is 10868760283. The next prime is 10868760289. The reversal of 10868760288 is 88206786801.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10868760283) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14281828 + ... + 14282588.

It is an arithmetic number, because the mean of its divisors is an integer number (217491183).

Almost surely, 2^10868760288 is an apocalyptic number.

10868760288 is a gapful number since it is divisible by the number (18) 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 10868760288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15659365176).

10868760288 is an abundant number, since it is smaller than the sum of its proper divisors (20449970064).

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

10868760288 is a wasteful number, since it uses less digits than its factorization.

10868760288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1369 (or 1358 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 54.

The spelling of 10868760288 in words is "ten billion, eight hundred sixty-eight million, seven hundred sixty thousand, two hundred eighty-eight".