496256888000 has 112 divisors (see below), whose sum is σ = 1229349498624. Its totient is φ = 198443110400.

The previous prime is 496256887993. The next prime is 496256888003. The reversal of 496256888000 is 888652694.

It is not an unprimeable number, because it can be changed into a prime (496256888003) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 34688849 + ... + 34703151.

Almost surely, 2^496256888000 is an apocalyptic number.

496256888000 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 496256888000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614674749312).

496256888000 is an abundant number, since it is smaller than the sum of its proper divisors (733092610624).

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

496256888000 is a wasteful number, since it uses less digits than its factorization.

496256888000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18667 (or 18647 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 56.

The spelling of 496256888000 in words is "four hundred ninety-six billion, two hundred fifty-six million, eight hundred eighty-eight thousand".