498260805120 has 480 divisors, whose sum is σ = 1888891228224. Its totient is φ = 120633753600.

The previous prime is 498260805109. The next prime is 498260805127. The reversal of 498260805120 is 21508062894.

498260805120 is a `hidden beast` number, since 498 + 2 + 60 + 80 + 5 + 1 + 20 = 666.

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

It is a super-3 number, since 3×498260805120³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (498260805127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18257085 + ... + 18284355.

Almost surely, 2^498260805120 is an apocalyptic number.

498260805120 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 498260805120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (944445614112).

498260805120 is an abundant number, since it is smaller than the sum of its proper divisors (1390630423104).

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

498260805120 is a wasteful number, since it uses less digits than its factorization.

498260805120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27374 (or 27355 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 498260805120 in words is "four hundred ninety-eight billion, two hundred sixty million, eight hundred five thousand, one hundred twenty".