491159279520 has 1152 divisors, whose sum is σ = 2146038935040. Its totient is φ = 99492986880.

The previous prime is 491159279503. The next prime is 491159279521. The reversal of 491159279520 is 25972951194.

It is a happy number.

491159279520 is a `hidden beast` number, since 4 + 91 + 1 + 5 + 9 + 27 + 9 + 520 = 666.

It is not an unprimeable number, because it can be changed into a prime (491159279521) 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 191 ways as a sum of consecutive naturals, for example, 1166648910 + ... + 1166649330.

It is an arithmetic number, because the mean of its divisors is an integer number (1862881020).

Almost surely, 2^491159279520 is an apocalyptic number.

491159279520 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 491159279520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1073019467520).

491159279520 is an abundant number, since it is smaller than the sum of its proper divisors (1654879655520).

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

491159279520 is a wasteful number, since it uses less digits than its factorization.

491159279520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798 (or 787 counting only the distinct ones).

The product of its (nonzero) digits is 2041200, while the sum is 54.

The spelling of 491159279520 in words is "four hundred ninety-one billion, one hundred fifty-nine million, two hundred seventy-nine thousand, five hundred twenty".