11540600205641 has 32 divisors (see below), whose sum is σ = 12959198501760. Its totient is φ = 10204005095424.

The previous prime is 11540600205601. The next prime is 11540600205689. The reversal of 11540600205641 is 14650200604511.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-11540600205641 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11540600205601) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23980601 + ... + 24457113.

It is an arithmetic number, because the mean of its divisors is an integer number (404974953180).

Almost surely, 2^{11540600205641} is an apocalyptic number.

It is an amenable number.

11540600205641 is a deficient number, since it is larger than the sum of its proper divisors (1418598296119).

11540600205641 is a wasteful number, since it uses less digits than its factorization.

11540600205641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477065.

The product of its (nonzero) digits is 28800, while the sum is 35.

The spelling of 11540600205641 in words is "eleven trillion, five hundred forty billion, six hundred million, two hundred five thousand, six hundred forty-one".