10561166830656 has 504 divisors, whose sum is σ = 35239052833920. Its totient is φ = 3013032701952.

The previous prime is 10561166830649. The next prime is 10561166830723. The reversal of 10561166830656 is 65603866116501.

10561166830656 is a `hidden beast` number, since 1 + 0 + 561 + 16 + 6 + 8 + 3 + 0 + 65 + 6 = 666.

It is a super-2 number, since 2×10561166830656² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 86867446 + ... + 86988938.

Almost surely, 2^{10561166830656} is an apocalyptic number.

10561166830656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10561166830656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17619526416960).

10561166830656 is an abundant number, since it is smaller than the sum of its proper divisors (24677886003264).

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

10561166830656 is a wasteful number, since it uses less digits than its factorization.

10561166830656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121603 (or 121577 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 10561166830656 in words is "ten trillion, five hundred sixty-one billion, one hundred sixty-six million, eight hundred thirty thousand, six hundred fifty-six".