491248558080 has 1792 divisors, whose sum is σ = 2174194483200. Its totient is φ = 102770933760.

The previous prime is 491248558067. The next prime is 491248558117. The reversal of 491248558080 is 80855842194.

491248558080 is a `hidden beast` number, since 4 + 9 + 1 + 2 + 4 + 8 + 558 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1792).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5519646676 + ... + 5519646764.

Almost surely, 2^491248558080 is an apocalyptic number.

491248558080 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 491248558080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1087097241600).

491248558080 is an abundant number, since it is smaller than the sum of its proper divisors (1682945925120).

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

491248558080 is a wasteful number, since it uses less digits than its factorization.

491248558080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 54.

The spelling of 491248558080 in words is "four hundred ninety-one billion, two hundred forty-eight million, five hundred fifty-eight thousand, eighty".