11657267764540 has 48 divisors (see below), whose sum is σ = 25814467969920. Its totient is φ = 4409644518720.

The previous prime is 11657267764537. The next prime is 11657267764547. The reversal of 11657267764540 is 4546776275611.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11657267764547) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27030306 + ... + 27458185.

It is an arithmetic number, because the mean of its divisors is an integer number (537801416040).

Almost surely, 2^{11657267764540} is an apocalyptic number.

11657267764540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11657267764540 is an abundant number, since it is smaller than the sum of its proper divisors (14157200205380).

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

11657267764540 is a wasteful number, since it uses less digits than its factorization.

11657267764540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54489082 (or 54489080 counting only the distinct ones).

The product of its (nonzero) digits is 59270400, while the sum is 61.

The spelling of 11657267764540 in words is "eleven trillion, six hundred fifty-seven billion, two hundred sixty-seven million, seven hundred sixty-four thousand, five hundred forty".