498585507840 has 960 divisors, whose sum is σ = 2070138470400. Its totient is φ = 112416325632.

The previous prime is 498585507829. The next prime is 498585507853. The reversal of 498585507840 is 48705585894.

498585507840 is a `hidden beast` number, since 4 + 9 + 8 + 5 + 8 + 550 + 78 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 458679777 + ... + 458680863.

It is an arithmetic number, because the mean of its divisors is an integer number (2156394240).

Almost surely, 2^498585507840 is an apocalyptic number.

498585507840 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 498585507840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1035069235200).

498585507840 is an abundant number, since it is smaller than the sum of its proper divisors (1571552962560).

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

498585507840 is a wasteful number, since it uses less digits than its factorization.

498585507840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1212 (or 1183 counting only the distinct ones).

The product of its (nonzero) digits is 64512000, while the sum is 63.

The spelling of 498585507840 in words is "four hundred ninety-eight billion, five hundred eighty-five million, five hundred seven thousand, eight hundred forty".