10728253950720 has 144 divisors (see below), whose sum is σ = 34745944488192. Its totient is φ = 2820573736960.

The previous prime is 10728253950709. The next prime is 10728253950749. The reversal of 10728253950720 is 2705935282701.

It is a super-2 number, since 2×10728253950720² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19402122 + ... + 19947401.

It is an arithmetic number, because the mean of its divisors is an integer number (241291281168).

Almost surely, 2^{10728253950720} is an apocalyptic number.

10728253950720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10728253950720 is an abundant number, since it is smaller than the sum of its proper divisors (24017690537472).

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

10728253950720 is an equidigital number, since it uses as much as digits as its factorization.

10728253950720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39349618 (or 39349604 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 51.

The spelling of 10728253950720 in words is "ten trillion, seven hundred twenty-eight billion, two hundred fifty-three million, nine hundred fifty thousand, seven hundred twenty".