205319574768 has 160 divisors (see below), whose sum is σ = 664648174080. Its totient is φ = 53058862080.

The previous prime is 205319574737. The next prime is 205319574797. The reversal of 205319574768 is 867475913502.

It is a super-2 number, since 2×205319574768² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 587118 + ... + 869106.

It is an arithmetic number, because the mean of its divisors is an integer number (4154051088).

It is a 1-persistent number, because it is pandigital, but 2⋅205319574768 = 410639149536 is not.

Almost surely, 2^205319574768 is an apocalyptic number.

205319574768 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205319574768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332324087040).

205319574768 is an abundant number, since it is smaller than the sum of its proper divisors (459328599312).

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

205319574768 is a wasteful number, since it uses less digits than its factorization.

205319574768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282215 (or 282209 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 57.

It can be divided in two parts, 205319 and 574768, that added together give a palindrome (780087).

The spelling of 205319574768 in words is "two hundred five billion, three hundred nineteen million, five hundred seventy-four thousand, seven hundred sixty-eight".