10735820365 has 16 divisors (see below), whose sum is σ = 13667661360. Its totient is φ = 8067527680.

The previous prime is 10735820321. The next prime is 10735820383. The reversal of 10735820365 is 56302853701.

It can be written as a sum of positive squares in 8 ways, for example, as 486687721 + 10249132644 = 22061^2 + 101238^2 .

It is not a de Polignac number, because 10735820365 - 2¹³ = 10735812173 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80806 + ... + 167335.

It is an arithmetic number, because the mean of its divisors is an integer number (854228835).

Almost surely, 2^10735820365 is an apocalyptic number.

It is an amenable number.

10735820365 is a deficient number, since it is larger than the sum of its proper divisors (2931840995).

10735820365 is a wasteful number, since it uses less digits than its factorization.

10735820365 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248672.

The product of its (nonzero) digits is 151200, while the sum is 40.

The spelling of 10735820365 in words is "ten billion, seven hundred thirty-five million, eight hundred twenty thousand, three hundred sixty-five".