10561843819008 has 560 divisors, whose sum is σ = 32378872369536. Its totient is φ = 3439335997440.

The previous prime is 10561843819001. The next prime is 10561843819049. The reversal of 10561843819008 is 80091834816501.

It is a happy number.

10561843819008 is a `hidden beast` number, since 1 + 0 + 5 + 6 + 18 + 438 + 190 + 0 + 8 = 666.

It is a super-2 number, since 2×10561843819008² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (10561843819001) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2994566941 + ... + 2994570467.

Almost surely, 2^{10561843819008} is an apocalyptic number.

10561843819008 is a gapful number since it is divisible by the number (18) 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 10561843819008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16189436184768).

10561843819008 is an abundant number, since it is smaller than the sum of its proper divisors (21817028550528).

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

10561843819008 is an frugal number, since it uses more digits than its factorization.

10561843819008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3747 (or 3716 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 54.

The spelling of 10561843819008 in words is "ten trillion, five hundred sixty-one billion, eight hundred forty-three million, eight hundred nineteen thousand, eight".