492117877760 has 88 divisors (see below), whose sum is σ = 1184076767616. Its totient is φ = 196251770880.

The previous prime is 492117877729. The next prime is 492117877763. The reversal of 492117877760 is 67778711294.

It is a super-3 number, since 3×492117877760³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 492117877760.

It is not an unprimeable number, because it can be changed into a prime (492117877763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1549529 + ... + 1839911.

Almost surely, 2^492117877760 is an apocalyptic number.

492117877760 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 492117877760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592038383808).

492117877760 is an abundant number, since it is smaller than the sum of its proper divisors (691958889856).

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

492117877760 is a wasteful number, since it uses less digits than its factorization.

492117877760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290739 (or 290721 counting only the distinct ones).

The product of its (nonzero) digits is 8297856, while the sum is 59.

The spelling of 492117877760 in words is "four hundred ninety-two billion, one hundred seventeen million, eight hundred seventy-seven thousand, seven hundred sixty".