496164853800 has 576 divisors, whose sum is σ = 2128142540160. Its totient is φ = 100583424000.

The previous prime is 496164853783. The next prime is 496164853813. The reversal of 496164853800 is 8358461694.

496164853800 is a `hidden beast` number, since 4 + 9 + 61 + 6 + 48 + 538 + 0 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5638944 + ... + 5726256.

It is an arithmetic number, because the mean of its divisors is an integer number (3694691910).

Almost surely, 2^496164853800 is an apocalyptic number.

496164853800 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 496164853800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1064071270080).

496164853800 is an abundant number, since it is smaller than the sum of its proper divisors (1631977686360).

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

496164853800 is a wasteful number, since it uses less digits than its factorization.

496164853800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87394 (or 87382 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 496164853800 in words is "four hundred ninety-six billion, one hundred sixty-four million, eight hundred fifty-three thousand, eight hundred".