11565345640 has 16 divisors (see below), whose sum is σ = 26022027780. Its totient is φ = 4626138240.

The previous prime is 11565345637. The next prime is 11565345709. The reversal of 11565345640 is 4654356511.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 11497415076 + 67930564 = 107226^2 + 8242^2 .

It is a Harshad number since it is a multiple of its sum of digits (40), and also a Moran number because the ratio is a prime number: 289133641 = 11565345640 / (1 + 1 + 5 + 6 + 5 + 3 + 4 + 5 + 6 + 4 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 11565345593 and 11565345602.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 144566781 + ... + 144566860.

Almost surely, 2^11565345640 is an apocalyptic number.

11565345640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11565345640 is an abundant number, since it is smaller than the sum of its proper divisors (14456682140).

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

11565345640 is a wasteful number, since it uses less digits than its factorization.

11565345640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289133652 (or 289133648 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 40.

The spelling of 11565345640 in words is "eleven billion, five hundred sixty-five million, three hundred forty-five thousand, six hundred forty".