496182080160 has 768 divisors, whose sum is σ = 1963950105600. Its totient is φ = 116775419904.

The previous prime is 496182080153. The next prime is 496182080201. The reversal of 496182080160 is 61080281694.

496182080160 is a `hidden beast` number, since 4 + 9 + 618 + 20 + 8 + 0 + 1 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 218292784 + ... + 218295056.

It is an arithmetic number, because the mean of its divisors is an integer number (2557226700).

Almost surely, 2^496182080160 is an apocalyptic number.

496182080160 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 496182080160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (981975052800).

496182080160 is an abundant number, since it is smaller than the sum of its proper divisors (1467768025440).

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

496182080160 is a wasteful number, since it uses less digits than its factorization.

496182080160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2359 (or 2319 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 496182080160 in words is "four hundred ninety-six billion, one hundred eighty-two million, eighty thousand, one hundred sixty".