10505750482332 has 144 divisors (see below), whose sum is σ = 31974690132000. Its totient is φ = 2974104822528.

The previous prime is 10505750482307. The next prime is 10505750482333. The reversal of 10505750482332 is 23328405750501.

10505750482332 is a `hidden beast` number, since 1 + 0 + 5 + 0 + 575 + 0 + 48 + 2 + 3 + 32 = 666.

It is a super-2 number, since 2×10505750482332² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10505750482333) 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, 8529657 + ... + 9683312.

It is an arithmetic number, because the mean of its divisors is an integer number (222046459250).

Almost surely, 2^{10505750482332} is an apocalyptic number.

10505750482332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10505750482332 is an abundant number, since it is smaller than the sum of its proper divisors (21468939649668).

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

10505750482332 is a wasteful number, since it uses less digits than its factorization.

10505750482332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18213105 (or 18213090 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 10505750482332 in words is "ten trillion, five hundred five billion, seven hundred fifty million, four hundred eighty-two thousand, three hundred thirty-two".