5755344940900 has 81 divisors (see below), whose sum is σ = 12594879689259. Its totient is φ = 2282801794560.

The previous prime is 5755344940889. The next prime is 5755344940909. The reversal of 5755344940900 is 90494435575.

The square root of 5755344940900 is 2399030.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 146518997284 + 5608825943616 = 382778^2 + 2368296^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5755344940909) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3046767156 + ... + 3046769044.

Almost surely, 2^{5755344940900} is an apocalyptic number.

5755344940900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5755344940900 is the 2399030-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5755344940900

5755344940900 is an abundant number, since it is smaller than the sum of its proper divisors (6839534748359).

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

5755344940900 is an equidigital number, since it uses as much as digits as its factorization.

5755344940900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4046 (or 2023 counting only the distinct ones).

The product of its (nonzero) digits is 13608000, while the sum is 55.

The spelling of 5755344940900 in words is "five trillion, seven hundred fifty-five billion, three hundred forty-four million, nine hundred forty thousand, nine hundred".