10605504768 has 144 divisors (see below), whose sum is σ = 29699287296. Its totient is φ = 3355361280.

The previous prime is 10605504733. The next prime is 10605504787. The reversal of 10605504768 is 86740550601.

It is a super-2 number, since 2×10605504768² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1160505 + ... + 1169607.

Almost surely, 2^10605504768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10605504768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14849643648).

10605504768 is an abundant number, since it is smaller than the sum of its proper divisors (19093782528).

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

10605504768 is an equidigital number, since it uses as much as digits as its factorization.

10605504768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9200 (or 9186 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The spelling of 10605504768 in words is "ten billion, six hundred five million, five hundred four thousand, seven hundred sixty-eight".