10728757446800 has 120 divisors (see below), whose sum is σ = 25895096774400. Its totient is φ = 4271657264640.

The previous prime is 10728757446793. The next prime is 10728757446821. The reversal of 10728757446800 is 864475782701.

It is a self number, because there is not a number n which added to its sum of digits gives 10728757446800.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 416492321 + ... + 416518079.

It is an arithmetic number, because the mean of its divisors is an integer number (215792473120).

Almost surely, 2^{10728757446800} is an apocalyptic number.

10728757446800 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 10728757446800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12947548387200).

10728757446800 is an abundant number, since it is smaller than the sum of its proper divisors (15166339327600).

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

10728757446800 is a wasteful number, since it uses less digits than its factorization.

10728757446800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30553 (or 30542 counting only the distinct ones).

The product of its (nonzero) digits is 21073920, while the sum is 59.

The spelling of 10728757446800 in words is "ten trillion, seven hundred twenty-eight billion, seven hundred fifty-seven million, four hundred forty-six thousand, eight hundred".