10973753600 has 108 divisors (see below), whose sum is σ = 27608011620. Its totient is φ = 4317388800.

The previous prime is 10973753573. The next prime is 10973753641. The reversal of 10973753600 is 635737901.

It can be written as a sum of positive squares in 6 ways, for example, as 5725040896 + 5248712704 = 75664^2 + 72448^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 376346 + ... + 404454.

Almost surely, 2^10973753600 is an apocalyptic number.

10973753600 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 10973753600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13804005810).

10973753600 is an abundant number, since it is smaller than the sum of its proper divisors (16634258020).

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

10973753600 is an equidigital number, since it uses as much as digits as its factorization.

10973753600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28196 (or 28177 counting only the distinct ones).

The product of its (nonzero) digits is 119070, while the sum is 41.

The spelling of 10973753600 in words is "ten billion, nine hundred seventy-three million, seven hundred fifty-three thousand, six hundred".