10163882610180 has 216 divisors, whose sum is σ = 33392457713160. Its totient is φ = 2501278341120.

The previous prime is 10163882610151. The next prime is 10163882610227. The reversal of 10163882610180 is 8101628836101.

10163882610180 is a `hidden beast` number, since 1 + 0 + 1 + 6 + 388 + 261 + 0 + 1 + 8 + 0 = 666.

10163882610180 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 9272353862916 + 891528747264 = 3045054^2 + 944208^2 .

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 71 ways as a sum of consecutive naturals, for example, 134083890 + ... + 134159670.

It is an arithmetic number, because the mean of its divisors is an integer number (154594711635).

Almost surely, 2^{10163882610180} is an apocalyptic number.

10163882610180 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 10163882610180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16696228856580).

10163882610180 is an abundant number, since it is smaller than the sum of its proper divisors (23228575102980).

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

10163882610180 is a wasteful number, since it uses less digits than its factorization.

10163882610180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80231 (or 80213 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The spelling of 10163882610180 in words is "ten trillion, one hundred sixty-three billion, eight hundred eighty-two million, six hundred ten thousand, one hundred eighty".