491511804456960 has 1248 divisors, whose sum is σ = 2055309310080000. Its totient is φ = 106134261202944.

The previous prime is 491511804456947. The next prime is 491511804457049. The reversal of 491511804456960 is 69654408115194.

491511804456960 is a `hidden beast` number, since 4 + 9 + 1 + 5 + 1 + 1 + 8 + 0 + 4 + 4 + 569 + 60 = 666.

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 95 ways as a sum of consecutive naturals, for example, 8800699116 + ... + 8800754964.

It is an arithmetic number, because the mean of its divisors is an integer number (1646882460000).

Almost surely, 2^{491511804456960} is an apocalyptic number.

491511804456960 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 491511804456960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1027654655040000).

491511804456960 is an abundant number, since it is smaller than the sum of its proper divisors (1563797505623040).

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

491511804456960 is a wasteful number, since it uses less digits than its factorization.

491511804456960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56269 (or 56244 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 63.

The spelling of 491511804456960 in words is "four hundred ninety-one trillion, five hundred eleven billion, eight hundred four million, four hundred fifty-six thousand, nine hundred sixty".