495806717952 has 2016 divisors, whose sum is σ = 2055802799232. Its totient is φ = 117719433216.

The previous prime is 495806717941. The next prime is 495806717957. The reversal of 495806717952 is 259717608594.

495806717952 is a `hidden beast` number, since 49 + 580 + 6 + 7 + 1 + 7 + 9 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 495806717952.

It is not an unprimeable number, because it can be changed into a prime (495806717957) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 21556813813 + ... + 21556813835.

It is an arithmetic number, because the mean of its divisors is an integer number (1019743452).

Almost surely, 2^495806717952 is an apocalyptic number.

495806717952 is a gapful number since it is divisible by the number (42) 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 495806717952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1027901399616).

495806717952 is an abundant number, since it is smaller than the sum of its proper divisors (1559996081280).

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

495806717952 is a wasteful number, since it uses less digits than its factorization.

495806717952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 38102400, while the sum is 63.

The spelling of 495806717952 in words is "four hundred ninety-five billion, eight hundred six million, seven hundred seventeen thousand, nine hundred fifty-two".