10417132180 has 96 divisors (see below), whose sum is σ = 27171809280. Its totient is φ = 3266542080.

The previous prime is 10417132163. The next prime is 10417132189. The reversal of 10417132180 is 8123171401.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10417132189) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 172125 + ... + 224635.

It is an arithmetic number, because the mean of its divisors is an integer number (283039680).

Almost surely, 2^10417132180 is an apocalyptic number.

10417132180 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 10417132180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13585904640).

10417132180 is an abundant number, since it is smaller than the sum of its proper divisors (16754677100).

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

10417132180 is a wasteful number, since it uses less digits than its factorization.

10417132180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52649 (or 52647 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 28.

It can be divided in two parts, 104171321 and 80, that added together give a palindrome (104171401).

The spelling of 10417132180 in words is "ten billion, four hundred seventeen million, one hundred thirty-two thousand, one hundred eighty".