493371516960 has 576 divisors, whose sum is σ = 2011135246848. Its totient is φ = 107688886272.

The previous prime is 493371516949. The next prime is 493371517019. The reversal of 493371516960 is 69615173394.

493371516960 is a `hidden beast` number, since 4 + 9 + 3 + 37 + 1 + 516 + 96 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 493371516897 and 493371516906.

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, 179210944 + ... + 179213696.

It is an arithmetic number, because the mean of its divisors is an integer number (3491554248).

Almost surely, 2^493371516960 is an apocalyptic number.

493371516960 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 493371516960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1005567623424).

493371516960 is an abundant number, since it is smaller than the sum of its proper divisors (1517763729888).

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

493371516960 is a wasteful number, since it uses less digits than its factorization.

493371516960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3577 (or 3566 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 54.

It can be divided in two parts, 493371 and 516960, that added together give a triangular number (1010331 = T₁₄₂₁).

The spelling of 493371516960 in words is "four hundred ninety-three billion, three hundred seventy-one million, five hundred sixteen thousand, nine hundred sixty".