10561727143200 has 72 divisors (see below), whose sum is σ = 34378421858928. Its totient is φ = 2816460570880.

The previous prime is 10561727143193. The next prime is 10561727143207. The reversal of 10561727143200 is 234172716501.

It is an interprime number because it is at equal distance from previous prime (10561727143193) and next prime (10561727143207).

It is a super-2 number, since 2×10561727143200² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10561727143207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2200357422 + ... + 2200362221.

It is an arithmetic number, because the mean of its divisors is an integer number (477478081374).

Almost surely, 2^{10561727143200} is an apocalyptic number.

10561727143200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10561727143200 is an abundant number, since it is smaller than the sum of its proper divisors (23816694715728).

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

10561727143200 is a wasteful number, since it uses less digits than its factorization.

10561727143200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4400719666 (or 4400719653 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 39.

Adding to 10561727143200 its reverse (234172716501), we get a palindrome (10795899859701).

The spelling of 10561727143200 in words is "ten trillion, five hundred sixty-one billion, seven hundred twenty-seven million, one hundred forty-three thousand, two hundred".