10565026560 has 288 divisors, whose sum is σ = 40900930560. Its totient is φ = 2561126400.

The previous prime is 10565026559. The next prime is 10565026597. The reversal of 10565026560 is 6562056501.

It is a happy number.

10565026560 is a `hidden beast` number, since 10 + 5 + 65 + 0 + 26 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×10565026560² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 366265 + ... + 394055.

It is an arithmetic number, because the mean of its divisors is an integer number (142017120).

Almost surely, 2^10565026560 is an apocalyptic number.

10565026560 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 10565026560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20450465280).

10565026560 is an abundant number, since it is smaller than the sum of its proper divisors (30335904000).

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

10565026560 is a wasteful number, since it uses less digits than its factorization.

10565026560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27832 (or 27812 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 10565026560 in words is "ten billion, five hundred sixty-five million, twenty-six thousand, five hundred sixty".