10947173328 has 240 divisors, whose sum is σ = 39104747136. Its totient is φ = 2887073280.

The previous prime is 10947173309. The next prime is 10947173351. The reversal of 10947173328 is 82337174901.

10947173328 is a `hidden beast` number, since 109 + 471 + 73 + 3 + 2 + 8 = 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 47 ways as a sum of consecutive naturals, for example, 338338 + ... + 369278.

Almost surely, 2^10947173328 is an apocalyptic number.

10947173328 is a gapful number since it is divisible by the number (18) 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 10947173328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19552373568).

10947173328 is an abundant number, since it is smaller than the sum of its proper divisors (28157573808).

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

10947173328 is a wasteful number, since it uses less digits than its factorization.

10947173328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30984 (or 30966 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 10947173328 in words is "ten billion, nine hundred forty-seven million, one hundred seventy-three thousand, three hundred twenty-eight".