10671595520 has 224 divisors, whose sum is σ = 26884896192. Its totient is φ = 4062707712.

The previous prime is 10671595507. The next prime is 10671595523. The reversal of 10671595520 is 2559517601.

It is a super-2 number, since 2×10671595520² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10671595523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 128573399 + ... + 128573481.

It is an arithmetic number, because the mean of its divisors is an integer number (120021858).

Almost surely, 2^10671595520 is an apocalyptic number.

10671595520 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 10671595520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13442448096).

10671595520 is an abundant number, since it is smaller than the sum of its proper divisors (16213300672).

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

10671595520 is an frugal number, since it uses more digits than its factorization.

10671595520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 94500, while the sum is 41.

The spelling of 10671595520 in words is "ten billion, six hundred seventy-one million, five hundred ninety-five thousand, five hundred twenty".