495516516768 has 768 divisors, whose sum is σ = 1893943296000. Its totient is φ = 122383540224.

The previous prime is 495516516751. The next prime is 495516516799. The reversal of 495516516768 is 867615615594.

495516516768 is a `hidden beast` number, since 4 + 9 + 5 + 51 + 6 + 516 + 7 + 68 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 132951321 + ... + 132955047.

It is an arithmetic number, because the mean of its divisors is an integer number (2466072000).

Almost surely, 2^495516516768 is an apocalyptic number.

495516516768 is a gapful number since it is divisible by the number (48) 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 495516516768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (946971648000).

495516516768 is an abundant number, since it is smaller than the sum of its proper divisors (1398426779232).

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

495516516768 is a wasteful number, since it uses less digits than its factorization.

495516516768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3874 (or 3860 counting only the distinct ones).

The product of its digits is 54432000, while the sum is 63.

The spelling of 495516516768 in words is "four hundred ninety-five billion, five hundred sixteen million, five hundred sixteen thousand, seven hundred sixty-eight".