10950774912 has 960 divisors, whose sum is σ = 43335230400. Its totient is φ = 2682408960.

The previous prime is 10950774907. The next prime is 10950774929. The reversal of 10950774912 is 21947705901.

10950774912 is a `hidden beast` number, since 1 + 0 + 95 + 0 + 77 + 491 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 254669163 + ... + 254669205.

It is an arithmetic number, because the mean of its divisors is an integer number (45140865).

Almost surely, 2^10950774912 is an apocalyptic number.

10950774912 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 10950774912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21667615200).

10950774912 is an abundant number, since it is smaller than the sum of its proper divisors (32384455488).

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

10950774912 is a wasteful number, since it uses less digits than its factorization.

10950774912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 45.

The spelling of 10950774912 in words is "ten billion, nine hundred fifty million, seven hundred seventy-four thousand, nine hundred twelve".