10564508682 has 288 divisors, whose sum is σ = 29578348800. Its totient is φ = 2700262656.

The previous prime is 10564508653. The next prime is 10564508699. The reversal of 10564508682 is 28680546501.

10564508682 is a `hidden beast` number, since 1 + 0 + 5 + 64 + 508 + 6 + 82 = 666.

It is a super-2 number, since 2×10564508682² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 96922044 + ... + 96922152.

It is an arithmetic number, because the mean of its divisors is an integer number (102702600).

Almost surely, 2^10564508682 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10564508682, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14789174400).

10564508682 is an abundant number, since it is smaller than the sum of its proper divisors (19013840118).

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

10564508682 is a wasteful number, since it uses less digits than its factorization.

10564508682 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 10564508682 in words is "ten billion, five hundred sixty-four million, five hundred eight thousand, six hundred eighty-two".