10662117120 has 216 divisors, whose sum is σ = 39060521136. Its totient is φ = 2675933184.

The previous prime is 10662117079. The next prime is 10662117131. The reversal of 10662117120 is 2171126601.

It is a happy number.

10662117120 is a `hidden beast` number, since 1 + 0 + 6 + 621 + 17 + 1 + 20 = 666.

10662117120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10662117120² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 168619 + ... + 223061.

It is an arithmetic number, because the mean of its divisors is an integer number (180835746).

Almost surely, 2^10662117120 is an apocalyptic number.

10662117120 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 10662117120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19530260568).

10662117120 is an abundant number, since it is smaller than the sum of its proper divisors (28398404016).

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

10662117120 is a wasteful number, since it uses less digits than its factorization.

10662117120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54487 (or 54470 counting only the distinct ones).

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

The spelling of 10662117120 in words is "ten billion, six hundred sixty-two million, one hundred seventeen thousand, one hundred twenty".