10951982496 has 288 divisors, whose sum is σ = 40000746240. Its totient is φ = 2762698752.

The previous prime is 10951982453. The next prime is 10951982507. The reversal of 10951982496 is 69428915901.

10951982496 is a `hidden beast` number, since 1 + 0 + 9 + 519 + 82 + 49 + 6 = 666.

10951982496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 593700 + ... + 611868.

It is an arithmetic number, because the mean of its divisors is an integer number (138891480).

Almost surely, 2^10951982496 is an apocalyptic number.

10951982496 is a gapful number since it is divisible by the number (16) 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 10951982496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20000373120).

10951982496 is an abundant number, since it is smaller than the sum of its proper divisors (29048763744).

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

10951982496 is a wasteful number, since it uses less digits than its factorization.

10951982496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18228 (or 18217 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 54.

The spelling of 10951982496 in words is "ten billion, nine hundred fifty-one million, nine hundred eighty-two thousand, four hundred ninety-six".