10865986560 has 1056 divisors, whose sum is σ = 47317338432. Its totient is φ = 2264924160.

The previous prime is 10865986519. The next prime is 10865986561. The reversal of 10865986560 is 6568956801.

It is a happy number.

10865986560 is a `hidden beast` number, since 10 + 8 + 65 + 9 + 8 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a junction number, because it is equal to n+sod(n) for n = 10865986497 and 10865986506.

It is not an unprimeable number, because it can be changed into a prime (10865986561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 112020432 + ... + 112020528.

Almost surely, 2^10865986560 is an apocalyptic number.

10865986560 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 10865986560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23658669216).

10865986560 is an abundant number, since it is smaller than the sum of its proper divisors (36451351872).

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

10865986560 is a wasteful number, since it uses less digits than its factorization.

10865986560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 10865986560 in words is "ten billion, eight hundred sixty-five million, nine hundred eighty-six thousand, five hundred sixty".