498017953680 has 240 divisors, whose sum is σ = 1717986916800. Its totient is φ = 118633835520.

The previous prime is 498017953673. The next prime is 498017953681. The reversal of 498017953680 is 86359710894.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×498017953680² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (498017953681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2915271 + ... + 3081369.

It is an arithmetic number, because the mean of its divisors is an integer number (7158278820).

Almost surely, 2^498017953680 is an apocalyptic number.

498017953680 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 498017953680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (858993458400).

498017953680 is an abundant number, since it is smaller than the sum of its proper divisors (1219968963120).

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

498017953680 is a wasteful number, since it uses less digits than its factorization.

498017953680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166190 (or 166153 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 60.

The spelling of 498017953680 in words is "four hundred ninety-eight billion, seventeen million, nine hundred fifty-three thousand, six hundred eighty".