56758297600 has 99 divisors (see below), whose sum is σ = 140786398227. Its totient is φ = 22688071680.

The previous prime is 56758297571. The next prime is 56758297601. The reversal of 56758297600 is 679285765.

The square root of 56758297600 is 238240.

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 10571129856 + 46187167744 = 102816^2 + 214912^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (56758297601) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 38117656 + ... + 38119144.

Almost surely, 2^56758297600 is an apocalyptic number.

56758297600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

56758297600 is the 238240-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56758297600

56758297600 is an abundant number, since it is smaller than the sum of its proper divisors (84028100627).

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

56758297600 is an frugal number, since it uses more digits than its factorization.

56758297600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3008 (or 1496 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 55.

The spelling of 56758297600 in words is "fifty-six billion, seven hundred fifty-eight million, two hundred ninety-seven thousand, six hundred".