10766935872 has 672 divisors, whose sum is σ = 40899575808. Its totient is φ = 2626560000.

The previous prime is 10766935859. The next prime is 10766935889. The reversal of 10766935872 is 27853966701.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 56371297 + ... + 56371487.

It is an arithmetic number, because the mean of its divisors is an integer number (60862464).

Almost surely, 2^10766935872 is an apocalyptic number.

10766935872 is a gapful number since it is divisible by the number (12) 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 10766935872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20449787904).

10766935872 is an abundant number, since it is smaller than the sum of its proper divisors (30132639936).

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

10766935872 is a wasteful number, since it uses less digits than its factorization.

10766935872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 10766935872 in words is "ten billion, seven hundred sixty-six million, nine hundred thirty-five thousand, eight hundred seventy-two".