496165288320 has 1536 divisors, whose sum is σ = 2032055424000. Its totient is φ = 114118557696.

The previous prime is 496165288313. The next prime is 496165288351. The reversal of 496165288320 is 23882561694.

496165288320 is a `hidden beast` number, since 4 + 9 + 6 + 16 + 528 + 83 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 5574890836 + ... + 5574890924.

It is an arithmetic number, because the mean of its divisors is an integer number (1322952750).

Almost surely, 2^496165288320 is an apocalyptic number.

496165288320 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 496165288320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1016027712000).

496165288320 is an abundant number, since it is smaller than the sum of its proper divisors (1535890135680).

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

496165288320 is a wasteful number, since it uses less digits than its factorization.

496165288320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 218 counting only the distinct ones).

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

The spelling of 496165288320 in words is "four hundred ninety-six billion, one hundred sixty-five million, two hundred eighty-eight thousand, three hundred twenty".