10571640345 has 64 divisors (see below), whose sum is σ = 21510144000. Its totient is φ = 4825718208.

The previous prime is 10571640311. The next prime is 10571640347. The reversal of 10571640345 is 54304617501.

10571640345 is a `hidden beast` number, since 1 + 0 + 5 + 7 + 1 + 640 + 3 + 4 + 5 = 666.

It is not a de Polignac number, because 10571640345 - 2⁸ = 10571640089 is a prime.

It is a super-2 number, since 2×10571640345² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10571640347) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 671676 + ... + 687234.

It is an arithmetic number, because the mean of its divisors is an integer number (336096000).

Almost surely, 2^10571640345 is an apocalyptic number.

10571640345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10571640345 is an abundant number, since it is smaller than the sum of its proper divisors (10938503655).

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

10571640345 is a wasteful number, since it uses less digits than its factorization.

10571640345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16299 (or 16293 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 10571640345 in words is "ten billion, five hundred seventy-one million, six hundred forty thousand, three hundred forty-five".