10866759360 has 224 divisors, whose sum is σ = 36029188800. Its totient is φ = 2771435520.

The previous prime is 10866759349. The next prime is 10866759361. The reversal of 10866759360 is 6395766801.

It is not an unprimeable number, because it can be changed into a prime (10866759361) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3032770 + ... + 3036350.

Almost surely, 2^10866759360 is an apocalyptic number.

10866759360 is a gapful number since it is divisible by the number (10) 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 10866759360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18014594400).

10866759360 is an abundant number, since it is smaller than the sum of its proper divisors (25162429440).

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

10866759360 is a wasteful number, since it uses less digits than its factorization.

10866759360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3739 (or 3729 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 51.

The spelling of 10866759360 in words is "ten billion, eight hundred sixty-six million, seven hundred fifty-nine thousand, three hundred sixty".