11007640441265 has 16 divisors (see below), whose sum is σ = 14320729962000. Its totient is φ = 8074163926272.

The previous prime is 11007640441247. The next prime is 11007640441321. The reversal of 11007640441265 is 56214404670011.

11007640441265 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 5783289093409 + 5224351347856 = 2404847^2 + 2285684^2 .

It is a cyclic number.

It is not a de Polignac number, because 11007640441265 - 2⁶ = 11007640441201 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 568273250 + ... + 568292619.

It is an arithmetic number, because the mean of its divisors is an integer number (895045622625).

Almost surely, 2^{11007640441265} is an apocalyptic number.

It is an amenable number.

11007640441265 is a deficient number, since it is larger than the sum of its proper divisors (3313089520735).

11007640441265 is a wasteful number, since it uses less digits than its factorization.

11007640441265 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1136566036.

The product of its (nonzero) digits is 161280, while the sum is 41.

The spelling of 11007640441265 in words is "eleven trillion, seven billion, six hundred forty million, four hundred forty-one thousand, two hundred sixty-five".