11577312264 has 64 divisors (see below), whose sum is σ = 33086067840. Its totient is φ = 3307000320.

The previous prime is 11577312259. The next prime is 11577312281. The reversal of 11577312264 is 46221377511.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1225222 + ... + 1234634.

It is an arithmetic number, because the mean of its divisors is an integer number (516969810).

Almost surely, 2^11577312264 is an apocalyptic number.

11577312264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11577312264 is an abundant number, since it is smaller than the sum of its proper divisors (21508755576).

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

11577312264 is a wasteful number, since it uses less digits than its factorization.

11577312264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16750 (or 16746 counting only the distinct ones).

The product of its digits is 70560, while the sum is 39.

Adding to 11577312264 its reverse (46221377511), we get a palindrome (57798689775).

The spelling of 11577312264 in words is "eleven billion, five hundred seventy-seven million, three hundred twelve thousand, two hundred sixty-four".