11582575100768 has 96 divisors (see below), whose sum is σ = 27595034510400. Its totient is φ = 4671750979584.

The previous prime is 11582575100659. The next prime is 11582575100857. The reversal of 11582575100768 is 86700157528511.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104698988 + ... + 104809556.

It is an arithmetic number, because the mean of its divisors is an integer number (287448276150).

Almost surely, 2^{11582575100768} is an apocalyptic number.

It is an amenable number.

11582575100768 is an abundant number, since it is smaller than the sum of its proper divisors (16012459409632).

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

11582575100768 is a wasteful number, since it uses less digits than its factorization.

11582575100768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138112 (or 138104 counting only the distinct ones).

The product of its (nonzero) digits is 4704000, while the sum is 56.

The spelling of 11582575100768 in words is "eleven trillion, five hundred eighty-two billion, five hundred seventy-five million, one hundred thousand, seven hundred sixty-eight".