492382509579576 has 1024 divisors, whose sum is σ = 1805788156723200. Its totient is φ = 120516802560000.

The previous prime is 492382509579449. The next prime is 492382509579577. The reversal of 492382509579576 is 675975905283294.

492382509579576 is a `hidden beast` number, since 4 + 9 + 2 + 3 + 8 + 2 + 509 + 57 + 9 + 57 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 492382509579495 and 492382509579504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (492382509579577) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 40224036816 + ... + 40224049056.

It is an arithmetic number, because the mean of its divisors is an integer number (1763464996800).

Almost surely, 2^{492382509579576} is an apocalyptic number.

492382509579576 is a gapful number since it is divisible by the number (46) 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 492382509579576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (902894078361600).

492382509579576 is an abundant number, since it is smaller than the sum of its proper divisors (1313405647143624).

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

492382509579576 is a wasteful number, since it uses less digits than its factorization.

492382509579576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13849 (or 13839 counting only the distinct ones).

The product of its (nonzero) digits is 10287648000, while the sum is 81.

The spelling of 492382509579576 in words is "four hundred ninety-two trillion, three hundred eighty-two billion, five hundred nine million, five hundred seventy-nine thousand, five hundred seventy-six".