10482745361760 has 576 divisors, whose sum is σ = 41281909853184. Its totient is φ = 2372737536000.

The previous prime is 10482745361687. The next prime is 10482745361789. The reversal of 10482745361760 is 6716354728401.

10482745361760 is a `hidden beast` number, since 1 + 0 + 4 + 8 + 274 + 5 + 361 + 7 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 10482745361697 and 10482745361706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 643065610 + ... + 643081910.

It is an arithmetic number, because the mean of its divisors is an integer number (71669982384).

Almost surely, 2^{10482745361760} is an apocalyptic number.

10482745361760 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 10482745361760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20640954926592).

10482745361760 is an abundant number, since it is smaller than the sum of its proper divisors (30799164491424).

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

10482745361760 is a wasteful number, since it uses less digits than its factorization.

10482745361760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16947 (or 16936 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 10482745361760 in words is "ten trillion, four hundred eighty-two billion, seven hundred forty-five million, three hundred sixty-one thousand, seven hundred sixty".