11577400065 has 80 divisors (see below), whose sum is σ = 25874640000. Its totient is φ = 4811374080.

The previous prime is 11577400063. The next prime is 11577400073. The reversal of 11577400065 is 56000477511.

It is not a de Polignac number, because 11577400065 - 2¹ = 11577400063 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11577400063) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 154440 + ... + 216809.

It is an arithmetic number, because the mean of its divisors is an integer number (323433000).

Almost surely, 2^11577400065 is an apocalyptic number.

11577400065 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11577400065 is an abundant number, since it is smaller than the sum of its proper divisors (14297239935).

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

11577400065 is a wasteful number, since it uses less digits than its factorization.

11577400065 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371284 (or 371275 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 36.

Adding to 11577400065 its reverse (56000477511), we get a palindrome (67577877576).

The spelling of 11577400065 in words is "eleven billion, five hundred seventy-seven million, four hundred thousand, sixty-five".