10606796928 has 576 divisors, whose sum is σ = 38864105280. Its totient is φ = 2717245440.

The previous prime is 10606796923. The next prime is 10606796939. The reversal of 10606796928 is 82969760601.

10606796928 is a `hidden beast` number, since 1 + 0 + 606 + 7 + 9 + 6 + 9 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×10606796928² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10606796923) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 58600998 + ... + 58601178.

It is an arithmetic number, because the mean of its divisors is an integer number (67472405).

Almost surely, 2^10606796928 is an apocalyptic number.

10606796928 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 10606796928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19432052640).

10606796928 is an abundant number, since it is smaller than the sum of its proper divisors (28257308352).

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

10606796928 is a wasteful number, since it uses less digits than its factorization.

10606796928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 10606796928 in words is "ten billion, six hundred six million, seven hundred ninety-six thousand, nine hundred twenty-eight".