205824173490096 has 80 divisors (see below), whose sum is σ = 610324956345600. Its totient is φ = 58550107970304.

The previous prime is 205824173490079. The next prime is 205824173490097. The reversal of 205824173490096 is 690094371428502.

It is a happy number.

It is a super-2 number, since 2×205824173490096² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (205824173490097) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1337416386 + ... + 1337570273.

It is an arithmetic number, because the mean of its divisors is an integer number (7629061954320).

It is a 1-persistent number, because it is pandigital, but 2⋅205824173490096 = 411648346980192 is not.

Almost surely, 2^{205824173490096} is an apocalyptic number.

It is an amenable number.

205824173490096 is an abundant number, since it is smaller than the sum of its proper divisors (404500782855504).

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

205824173490096 is a wasteful number, since it uses less digits than its factorization.

205824173490096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2674986906 (or 2674986900 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 60.

The spelling of 205824173490096 in words is "two hundred five trillion, eight hundred twenty-four billion, one hundred seventy-three million, four hundred ninety thousand, ninety-six".