492056085760 has 144 divisors (see below), whose sum is σ = 1225414955520. Its totient is φ = 189100892160.

The previous prime is 492056085751. The next prime is 492056085779. The reversal of 492056085760 is 67580650294.

It is a junction number, because it is equal to n+sod(n) for n = 492056085698 and 492056085707.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5470914 + ... + 5560126.

It is an arithmetic number, because the mean of its divisors is an integer number (8509826080).

Almost surely, 2^492056085760 is an apocalyptic number.

492056085760 is a gapful number since it is divisible by the number (40) 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 492056085760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612707477760).

492056085760 is an abundant number, since it is smaller than the sum of its proper divisors (733358869760).

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

492056085760 is a wasteful number, since it uses less digits than its factorization.

492056085760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89404 (or 89390 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 52.

The spelling of 492056085760 in words is "four hundred ninety-two billion, fifty-six million, eighty-five thousand, seven hundred sixty".