10482632160 has 384 divisors, whose sum is σ = 44336968704. Its totient is φ = 2010562560.

The previous prime is 10482632143. The next prime is 10482632203. The reversal of 10482632160 is 6123628401.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 469572 + ... + 491388.

It is an arithmetic number, because the mean of its divisors is an integer number (115460856).

Almost surely, 2^10482632160 is an apocalyptic number.

10482632160 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 10482632160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22168484352).

10482632160 is an abundant number, since it is smaller than the sum of its proper divisors (33854336544).

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

10482632160 is a wasteful number, since it uses less digits than its factorization.

10482632160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21866 (or 21858 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The spelling of 10482632160 in words is "ten billion, four hundred eighty-two million, six hundred thirty-two thousand, one hundred sixty".