10564240635 has 192 divisors, whose sum is σ = 21511526400. Its totient is φ = 4751944704.

The previous prime is 10564240633. The next prime is 10564240679. The reversal of 10564240635 is 53604246501.

10564240635 is a `hidden beast` number, since 1 + 0 + 5 + 642 + 4 + 0 + 6 + 3 + 5 = 666.

It is not a de Polignac number, because 10564240635 - 2¹ = 10564240633 is a prime.

It is a super-2 number, since 2×10564240635² (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 10564240635.

It is not an unprimeable number, because it can be changed into a prime (10564240633) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 46538392 + ... + 46538618.

It is an arithmetic number, because the mean of its divisors is an integer number (112039200).

Almost surely, 2^10564240635 is an apocalyptic number.

10564240635 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10564240635 is an abundant number, since it is smaller than the sum of its proper divisors (10947285765).

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

10564240635 is a wasteful number, since it uses less digits than its factorization.

10564240635 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 10564240635 in words is "ten billion, five hundred sixty-four million, two hundred forty thousand, six hundred thirty-five".