498087610040160 has 576 divisors, whose sum is σ = 2043038425559040. Its totient is φ = 108097264005120.

The previous prime is 498087610040131. The next prime is 498087610040177. The reversal of 498087610040160 is 61040016780894.

498087610040160 is a `hidden beast` number, since 4 + 9 + 8 + 0 + 8 + 7 + 610 + 0 + 4 + 0 + 16 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 498087610040097 and 498087610040106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1523871 + ... + 31599009.

It is an arithmetic number, because the mean of its divisors is an integer number (3546941711040).

Almost surely, 2^{498087610040160} is an apocalyptic number.

498087610040160 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 498087610040160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1021519212779520).

498087610040160 is an abundant number, since it is smaller than the sum of its proper divisors (1544950815518880).

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

498087610040160 is a wasteful number, since it uses less digits than its factorization.

498087610040160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30075251 (or 30075240 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 498087610040160 in words is "four hundred ninety-eight trillion, eighty-seven billion, six hundred ten million, forty thousand, one hundred sixty".