11905193815593 has 32 divisors (see below), whose sum is σ = 17387914723200. Its totient is φ = 7200633325056.

The previous prime is 11905193815577. The next prime is 11905193815663. The reversal of 11905193815593 is 39551839150911.

It is a happy number.

It is not a de Polignac number, because 11905193815593 - 2⁴ = 11905193815577 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11905193815523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10836043 + ... + 11884031.

It is an arithmetic number, because the mean of its divisors is an integer number (543372335100).

Almost surely, 2^{11905193815593} is an apocalyptic number.

11905193815593 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

11905193815593 is a deficient number, since it is larger than the sum of its proper divisors (5482720907607).

11905193815593 is a wasteful number, since it uses less digits than its factorization.

11905193815593 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1053001.

The product of its (nonzero) digits is 6561000, while the sum is 60.

The spelling of 11905193815593 in words is "eleven trillion, nine hundred five billion, one hundred ninety-three million, eight hundred fifteen thousand, five hundred ninety-three".