10766000112 has 240 divisors, whose sum is σ = 33451600032. Its totient is φ = 2972712960.

The previous prime is 10766000053. The next prime is 10766000143. The reversal of 10766000112 is 21100066701.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16795312 + ... + 16795952.

Almost surely, 2^10766000112 is an apocalyptic number.

10766000112 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 10766000112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16725800016).

10766000112 is an abundant number, since it is smaller than the sum of its proper divisors (22685599920).

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

10766000112 is a wasteful number, since it uses less digits than its factorization.

10766000112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 896 (or 883 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

Adding to 10766000112 its reverse (21100066701), we get a palindrome (31866066813).

The spelling of 10766000112 in words is "ten billion, seven hundred sixty-six million, one hundred twelve", and thus it is an aban number.