10766581660 has 96 divisors (see below), whose sum is σ = 23570027712. Its totient is φ = 4128122880.

The previous prime is 10766581649. The next prime is 10766581739. The reversal of 10766581660 is 6618566701.

It is a self number, because there is not a number n which added to its sum of digits gives 10766581660.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19900990 + ... + 19901530.

It is an arithmetic number, because the mean of its divisors is an integer number (245521122).

Almost surely, 2^10766581660 is an apocalyptic number.

10766581660 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 10766581660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11785013856).

10766581660 is an abundant number, since it is smaller than the sum of its proper divisors (12803446052).

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

10766581660 is a wasteful number, since it uses less digits than its factorization.

10766581660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 983 (or 981 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 46.

The spelling of 10766581660 in words is "ten billion, seven hundred sixty-six million, five hundred eighty-one thousand, six hundred sixty".