10660440960 has 768 divisors, whose sum is σ = 42771456000. Its totient is φ = 2424619008.

The previous prime is 10660440949. The next prime is 10660441003. The reversal of 10660440960 is 6904406601.

10660440960 is a `hidden beast` number, since 1 + 0 + 6 + 604 + 40 + 9 + 6 + 0 = 666.

10660440960 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 2×10660440960² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 95 ways as a sum of consecutive naturals, for example, 83940417 + ... + 83940543.

It is an arithmetic number, because the mean of its divisors is an integer number (55692000).

Almost surely, 2^10660440960 is an apocalyptic number.

10660440960 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 10660440960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21385728000).

10660440960 is an abundant number, since it is smaller than the sum of its proper divisors (32111015040).

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

10660440960 is a wasteful number, since it uses less digits than its factorization.

10660440960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 10660440960 in words is "ten billion, six hundred sixty million, four hundred forty thousand, nine hundred sixty".