10721166120 has 192 divisors, whose sum is σ = 40496976000. Its totient is φ = 2408984064.

The previous prime is 10721166103. The next prime is 10721166143. The reversal of 10721166120 is 2166112701.

It is a happy number.

10721166120 is a `hidden beast` number, since 10 + 7 + 21 + 16 + 612 + 0 = 666.

It is a super-2 number, since 2×10721166120² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 112626 + ... + 184734.

It is an arithmetic number, because the mean of its divisors is an integer number (210921750).

Almost surely, 2^10721166120 is an apocalyptic number.

10721166120 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 10721166120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20248488000).

10721166120 is an abundant number, since it is smaller than the sum of its proper divisors (29775809880).

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

10721166120 is a wasteful number, since it uses less digits than its factorization.

10721166120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72192 (or 72185 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

Adding to 10721166120 its reverse (2166112701), we get a palindrome (12887278821).

The spelling of 10721166120 in words is "ten billion, seven hundred twenty-one million, one hundred sixty-six thousand, one hundred twenty".