10532640735 has 32 divisors (see below), whose sum is σ = 18836858880. Its totient is φ = 5583759264.

The previous prime is 10532640707. The next prime is 10532640739. The reversal of 10532640735 is 53704623501.

10532640735 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 2 + 640 + 7 + 3 + 5 = 666.

It is not a de Polignac number, because 10532640735 - 2²³ = 10524252127 is a prime.

It is a super-2 number, since 2×10532640735² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10532640735.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10532640739) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 211047 + ... + 256136.

It is an arithmetic number, because the mean of its divisors is an integer number (588651840).

Almost surely, 2^10532640735 is an apocalyptic number.

10532640735 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10532640735 is a deficient number, since it is larger than the sum of its proper divisors (8304218145).

10532640735 is a wasteful number, since it uses less digits than its factorization.

10532640735 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467364 (or 467358 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The spelling of 10532640735 in words is "ten billion, five hundred thirty-two million, six hundred forty thousand, seven hundred thirty-five".