10163984302080 has 2560 divisors, whose sum is σ = 44725227909120. Its totient is φ = 2158189608960.

The previous prime is 10163984302063. The next prime is 10163984302081. The reversal of 10163984302080 is 8020348936101.

10163984302080 is a `hidden beast` number, since 1 + 0 + 1 + 6 + 3 + 9 + 8 + 430 + 208 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

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

It is not an unprimeable number, because it can be changed into a prime (10163984302081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 143154708445 + ... + 143154708515.

It is an arithmetic number, because the mean of its divisors is an integer number (17470792152).

Almost surely, 2^{10163984302080} is an apocalyptic number.

10163984302080 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 10163984302080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22362613954560).

10163984302080 is an abundant number, since it is smaller than the sum of its proper divisors (34561243607040).

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

10163984302080 is an frugal number, since it uses more digits than its factorization.

10163984302080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 10163984302080 in words is "ten trillion, one hundred sixty-three billion, nine hundred eighty-four million, three hundred two thousand, eighty".