496582883280 has 480 divisors, whose sum is σ = 1997676390528. Its totient is φ = 113301504000.

The previous prime is 496582883273. The next prime is 496582883287. The reversal of 496582883280 is 82388285694.

496582883280 is a `hidden beast` number, since 49 + 6 + 582 + 8 + 8 + 3 + 2 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (496582883273) and next prime (496582883287).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (496582883287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3566980 + ... + 3703580.

Almost surely, 2^496582883280 is an apocalyptic number.

496582883280 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 496582883280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (998838195264).

496582883280 is an abundant number, since it is smaller than the sum of its proper divisors (1501093507248).

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

496582883280 is a wasteful number, since it uses less digits than its factorization.

496582883280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136657 (or 136639 counting only the distinct ones).

The product of its (nonzero) digits is 53084160, while the sum is 63.

The spelling of 496582883280 in words is "four hundred ninety-six billion, five hundred eighty-two million, eight hundred eighty-three thousand, two hundred eighty".