10765705040 has 40 divisors (see below), whose sum is σ = 25097439048. Its totient is φ = 4294725120.

The previous prime is 10765704979. The next prime is 10765705081. The reversal of 10765705040 is 4050756701.

10765705040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 715241536 + 10050463504 = 26744^2 + 100252^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 150551 + ... + 210230.

Almost surely, 2^10765705040 is an apocalyptic number.

10765705040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10765705040 is an abundant number, since it is smaller than the sum of its proper divisors (14331734008).

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

10765705040 is a wasteful number, since it uses less digits than its factorization.

10765705040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361167 (or 361161 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 35.

The spelling of 10765705040 in words is "ten billion, seven hundred sixty-five million, seven hundred five thousand, forty".