10561729418496 has 324 divisors, whose sum is σ = 33481886803092. Its totient is φ = 3313474781184.

The previous prime is 10561729418477. The next prime is 10561729418531. The reversal of 10561729418496 is 69481492716501.

10561729418496 is a `hidden beast` number, since 1 + 0 + 5 + 6 + 172 + 9 + 418 + 49 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9594134553600 + 967594864896 = 3097440^2 + 983664^2 .

It is a tau number, because it is divible by the number of its divisors (324).

It is a super-2 number, since 2×10561729418496² (a number of 27 digits) contains 22 as substring.

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, 28368526 + ... + 28738418.

Almost surely, 2^{10561729418496} is an apocalyptic number.

10561729418496 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 10561729418496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16740943401546).

10561729418496 is an abundant number, since it is smaller than the sum of its proper divisors (22920157384596).

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

10561729418496 is an frugal number, since it uses more digits than its factorization.

10561729418496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369950 (or 369915 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 10561729418496 in words is "ten trillion, five hundred sixty-one billion, seven hundred twenty-nine million, four hundred eighteen thousand, four hundred ninety-six".