491155176960 has 1680 divisors, whose sum is σ = 2120045214672. Its totient is φ = 108689817600.

The previous prime is 491155176959. The next prime is 491155177013. The reversal of 491155176960 is 69671551194.

491155176960 is a `hidden beast` number, since 4 + 9 + 1 + 1 + 5 + 517 + 69 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

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

It is a junction number, because it is equal to n+sod(n) for n = 491155176897 and 491155176906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 3749276095 + ... + 3749276225.

Almost surely, 2^491155176960 is an apocalyptic number.

491155176960 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 491155176960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1060022607336).

491155176960 is an abundant number, since it is smaller than the sum of its proper divisors (1628890037712).

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

491155176960 is an equidigital number, since it uses as much as digits as its factorization.

491155176960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 189 counting only the distinct ones).

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

The spelling of 491155176960 in words is "four hundred ninety-one billion, one hundred fifty-five million, one hundred seventy-six thousand, nine hundred sixty".