10535310564 has 48 divisors (see below), whose sum is σ = 25007875200. Its totient is φ = 3451461376.

The previous prime is 10535310509. The next prime is 10535310587. The reversal of 10535310564 is 46501353501.

10535310564 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10535310564² (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 (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 148822 + ... + 207890.

It is an arithmetic number, because the mean of its divisors is an integer number (520997400).

Almost surely, 2^10535310564 is an apocalyptic number.

It is an amenable number.

10535310564 is an abundant number, since it is smaller than the sum of its proper divisors (14472564636).

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

10535310564 is a wasteful number, since it uses less digits than its factorization.

10535310564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59332 (or 59330 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 33.

The spelling of 10535310564 in words is "ten billion, five hundred thirty-five million, three hundred ten thousand, five hundred sixty-four".