10482917253120 has 2520 divisors, whose sum is σ = 44526095978364. Its totient is φ = 2344875982848.

The previous prime is 10482917253119. The next prime is 10482917253143. The reversal of 10482917253120 is 2135271928401.

10482917253120 is a `hidden beast` number, since 1 + 0 + 4 + 8 + 2 + 91 + 7 + 2 + 531 + 20 = 666.

It can be written as a sum of positive squares in 18 ways, for example, as 30059237376 + 10452858015744 = 173376^2 + 3233088^2 .

It is a super-2 number, since 2×10482917253120² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 361479905266 + ... + 361479905294.

Almost surely, 2^{10482917253120} is an apocalyptic number.

10482917253120 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 10482917253120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22263047989182).

10482917253120 is an abundant number, since it is smaller than the sum of its proper divisors (34043178725244).

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

10482917253120 is an equidigital number, since it uses as much as digits as its factorization.

10482917253120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 10482917253120 in words is "ten trillion, four hundred eighty-two billion, nine hundred seventeen million, two hundred fifty-three thousand, one hundred twenty".