498210883915680 has 480 divisors, whose sum is σ = 1910277618402384. Its totient is φ = 121551241641984.

The previous prime is 498210883915637. The next prime is 498210883915681. The reversal of 498210883915680 is 86519388012894.

498210883915680 is a `hidden beast` number, since 4 + 9 + 8 + 2 + 108 + 8 + 391 + 56 + 80 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 42130951978896 + 456079931936784 = 6490836^2 + 21356028^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 498210883915599 and 498210883915608.

It is not an unprimeable number, because it can be changed into a prime (498210883915681) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5953762 + ... + 32122718.

Almost surely, 2^{498210883915680} is an apocalyptic number.

498210883915680 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 498210883915680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (955138809201192).

498210883915680 is an abundant number, since it is smaller than the sum of its proper divisors (1412066734486704).

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

498210883915680 is a wasteful number, since it uses less digits than its factorization.

498210883915680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26169110 (or 26169093 counting only the distinct ones).

The product of its (nonzero) digits is 238878720, while the sum is 72.

The spelling of 498210883915680 in words is "four hundred ninety-eight trillion, two hundred ten billion, eight hundred eighty-three million, nine hundred fifteen thousand, six hundred eighty".