10480450498560 has 2496 divisors, whose sum is σ = 45420679729152. Its totient is φ = 2268010119168.

The previous prime is 10480450498559. The next prime is 10480450498621. The reversal of 10480450498560 is 6589405408401.

10480450498560 is a `hidden beast` number, since 1 + 0 + 4 + 80 + 4 + 504 + 9 + 8 + 56 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 10480450498497 and 10480450498506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 60580638634 + ... + 60580638806.

It is an arithmetic number, because the mean of its divisors is an integer number (18197387712).

Almost surely, 2^{10480450498560} is an apocalyptic number.

10480450498560 is a gapful number since it is divisible by the number (10) 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 10480450498560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22710339864576).

10480450498560 is an abundant number, since it is smaller than the sum of its proper divisors (34940229230592).

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

10480450498560 is an equidigital number, since it uses as much as digits as its factorization.

10480450498560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 10480450498560 in words is "ten trillion, four hundred eighty billion, four hundred fifty million, four hundred ninety-eight thousand, five hundred sixty".