10817667072 has 128 divisors (see below), whose sum is σ = 32054479200. Its totient is φ = 3605594112.

The previous prime is 10817667053. The next prime is 10817667083. The reversal of 10817667072 is 27076671801.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 878623 + ... + 890849.

Almost surely, 2^10817667072 is an apocalyptic number.

10817667072 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 10817667072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16027239600).

10817667072 is an abundant number, since it is smaller than the sum of its proper divisors (21236812128).

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

10817667072 is an frugal number, since it uses more digits than its factorization.

10817667072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12266 (or 12232 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 45.

The spelling of 10817667072 in words is "ten billion, eight hundred seventeen million, six hundred sixty-seven thousand, seventy-two".