11577200264 has 32 divisors (see below), whose sum is σ = 24814070400. Its totient is φ = 4960500480.

The previous prime is 11577200233. The next prime is 11577200267. The reversal of 11577200264 is 46200277511.

It is not an unprimeable number, because it can be changed into a prime (11577200267) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 244784 + ... + 288224.

It is an arithmetic number, because the mean of its divisors is an integer number (775439700).

Almost surely, 2^11577200264 is an apocalyptic number.

11577200264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11577200264 is an abundant number, since it is smaller than the sum of its proper divisors (13236870136).

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

11577200264 is a wasteful number, since it uses less digits than its factorization.

11577200264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48213 (or 48209 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 35.

Adding to 11577200264 its reverse (46200277511), we get a palindrome (57777477775).

The spelling of 11577200264 in words is "eleven billion, five hundred seventy-seven million, two hundred thousand, two hundred sixty-four".