10564353126 has 72 divisors (see below), whose sum is σ = 23933134920. Its totient is φ = 3454229520.

The previous prime is 10564353103. The next prime is 10564353157. The reversal of 10564353126 is 62135346501.

10564353126 is a `hidden beast` number, since 1 + 0 + 5 + 643 + 5 + 3 + 1 + 2 + 6 = 666.

It is a super-2 number, since 2×10564353126² (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 53626060 + ... + 53626256.

Almost surely, 2^10564353126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10564353126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11966567460).

10564353126 is an abundant number, since it is smaller than the sum of its proper divisors (13368781794).

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

10564353126 is an frugal number, since it uses more digits than its factorization.

10564353126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

Adding to 10564353126 its reverse (62135346501), we get a palindrome (72699699627).

The spelling of 10564353126 in words is "ten billion, five hundred sixty-four million, three hundred fifty-three thousand, one hundred twenty-six".