10805257987872 has 192 divisors, whose sum is σ = 29276386191360. Its totient is φ = 3487679769600.

The previous prime is 10805257987871. The next prime is 10805257987889. The reversal of 10805257987872 is 27878975250801.

It is a junction number, because it is equal to n+sod(n) for n = 10805257987797 and 10805257987806.

It is not an unprimeable number, because it can be changed into a prime (10805257987871) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1644382347 + ... + 1644388917.

It is an arithmetic number, because the mean of its divisors is an integer number (152481178080).

Almost surely, 2^{10805257987872} is an apocalyptic number.

10805257987872 is a gapful number since it is divisible by the number (12) 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 10805257987872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14638193095680).

10805257987872 is an abundant number, since it is smaller than the sum of its proper divisors (18471128203488).

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

10805257987872 is a wasteful number, since it uses less digits than its factorization.

10805257987872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10807 (or 10799 counting only the distinct ones).

The product of its (nonzero) digits is 158054400, while the sum is 69.

The spelling of 10805257987872 in words is "ten trillion, eight hundred five billion, two hundred fifty-seven million, nine hundred eighty-seven thousand, eight hundred seventy-two".