10561694978304 has 432 divisors, whose sum is σ = 32243379727104. Its totient is φ = 3321001574400.

The previous prime is 10561694978297. The next prime is 10561694978323. The reversal of 10561694978304 is 40387949616501.

10561694978304 is a `hidden beast` number, since 1 + 0 + 5 + 6 + 1 + 69 + 497 + 83 + 0 + 4 = 666.

It is a super-2 number, since 2×10561694978304² (a number of 27 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 47 ways as a sum of consecutive naturals, for example, 368489734 + ... + 368518394.

It is an arithmetic number, because the mean of its divisors is an integer number (74637453072).

Almost surely, 2^{10561694978304} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10561694978304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16121689863552).

10561694978304 is an abundant number, since it is smaller than the sum of its proper divisors (21681684748800).

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

10561694978304 is a wasteful number, since it uses less digits than its factorization.

10561694978304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28854 (or 28837 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 10561694978304 in words is "ten trillion, five hundred sixty-one billion, six hundred ninety-four million, nine hundred seventy-eight thousand, three hundred four".