10565361540 has 288 divisors, whose sum is σ = 34618147200. Its totient is φ = 2600294400.

The previous prime is 10565361533. The next prime is 10565361551. The reversal of 10565361540 is 4516356501.

10565361540 is a `hidden beast` number, since 1 + 0 + 5 + 6 + 53 + 61 + 540 = 666.

It is a super-2 number, since 2×10565361540² (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 a junction number, because it is equal to n+sod(n) for n = 10565361495 and 10565361504.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25215451 + ... + 25215869.

It is an arithmetic number, because the mean of its divisors is an integer number (120201900).

Almost surely, 2^10565361540 is an apocalyptic number.

10565361540 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 10565361540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17309073600).

10565361540 is an abundant number, since it is smaller than the sum of its proper divisors (24052785660).

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

10565361540 is a wasteful number, since it uses less digits than its factorization.

10565361540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627 (or 622 counting only the distinct ones).

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

The spelling of 10565361540 in words is "ten billion, five hundred sixty-five million, three hundred sixty-one thousand, five hundred forty".