10565988121800 has 576 divisors, whose sum is σ = 37119822929280. Its totient is φ = 2793069527040.

The previous prime is 10565988121757. The next prime is 10565988121811. The reversal of 10565988121800 is 812188956501.

It is a super-2 number, since 2×10565988121800² (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 an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3837989224 + ... + 3837991976.

It is an arithmetic number, because the mean of its divisors is an integer number (64444137030).

Almost surely, 2^{10565988121800} is an apocalyptic number.

10565988121800 is a gapful number since it is divisible by the number (10) 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 10565988121800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18559911464640).

10565988121800 is an abundant number, since it is smaller than the sum of its proper divisors (26553834807480).

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

10565988121800 is a wasteful number, since it uses less digits than its factorization.

10565988121800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3444 (or 3423 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 54.

The spelling of 10565988121800 in words is "ten trillion, five hundred sixty-five billion, nine hundred eighty-eight million, one hundred twenty-one thousand, eight hundred".