10671171120 has 160 divisors (see below), whose sum is σ = 37025576640. Its totient is φ = 2824796160.

The previous prime is 10671171083. The next prime is 10671171127. The reversal of 10671171120 is 2117117601.

It is a super-2 number, since 2×10671171120² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10671171127) 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, 277890 + ... + 313950.

It is an arithmetic number, because the mean of its divisors is an integer number (231409854).

Almost surely, 2^10671171120 is an apocalyptic number.

10671171120 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 10671171120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18512788320).

10671171120 is an abundant number, since it is smaller than the sum of its proper divisors (26354405520).

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

10671171120 is a wasteful number, since it uses less digits than its factorization.

10671171120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36220 (or 36208 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 27.

Adding to 10671171120 its reverse (2117117601), we get a palindrome (12788288721).

The spelling of 10671171120 in words is "ten billion, six hundred seventy-one million, one hundred seventy-one thousand, one hundred twenty".