496879488000 has 2816 divisors, whose sum is σ = 2354370969600. Its totient is φ = 100727193600.

The previous prime is 496879487989. The next prime is 496879488013. The reversal of 496879488000 is 884978694.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 10571903977 + ... + 10571904023.

Almost surely, 2^496879488000 is an apocalyptic number.

496879488000 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 496879488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1177185484800).

496879488000 is an abundant number, since it is smaller than the sum of its proper divisors (1857491481600).

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

496879488000 is a wasteful number, since it uses less digits than its factorization.

496879488000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 496879488000 in words is "four hundred ninety-six billion, eight hundred seventy-nine million, four hundred eighty-eight thousand".