11557275266268 has 48 divisors (see below), whose sum is σ = 30113875680000. Its totient is φ = 3833066161584.

The previous prime is 11557275266263. The next prime is 11557275266321. The reversal of 11557275266268 is 86266257275511.

11557275266268 is a `hidden beast` number, since 1 + 1 + 5 + 572 + 7 + 52 + 6 + 6 + 2 + 6 + 8 = 666.

It is a super-2 number, since 2×11557275266268² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11557275266263) 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, 268852398 + ... + 268895381.

It is an arithmetic number, because the mean of its divisors is an integer number (627372410000).

Almost surely, 2^{11557275266268} is an apocalyptic number.

11557275266268 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11557275266268 is an abundant number, since it is smaller than the sum of its proper divisors (18556600413732).

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

11557275266268 is a wasteful number, since it uses less digits than its factorization.

11557275266268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537747991 (or 537747983 counting only the distinct ones).

The product of its digits is 84672000, while the sum is 63.

The spelling of 11557275266268 in words is "eleven trillion, five hundred fifty-seven billion, two hundred seventy-five million, two hundred sixty-six thousand, two hundred sixty-eight".