496298880000 has 1760 divisors, whose sum is σ = 2295999045120. Its totient is φ = 102850560000.

The previous prime is 496298879987. The next prime is 496298880013. The reversal of 496298880000 is 88892694.

496298880000 is a `hidden beast` number, since 4 + 9 + 629 + 8 + 8 + 8 + 0 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (496298879987) and next prime (496298880013).

It is a tau number, because it is divible by the number of its divisors (1760).

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1330559814 + ... + 1330560186.

It is an arithmetic number, because the mean of its divisors is an integer number (1304544912).

Almost surely, 2^496298880000 is an apocalyptic number.

496298880000 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 496298880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1147999522560).

496298880000 is an abundant number, since it is smaller than the sum of its proper divisors (1799700165120).

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

496298880000 is a wasteful number, since it uses less digits than its factorization.

496298880000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 496298880000 in words is "four hundred ninety-six billion, two hundred ninety-eight million, eight hundred eighty thousand".