5700334365600 has 432 divisors, whose sum is σ = 21610501714368. Its totient is φ = 1301328322560.

The previous prime is 5700334365499. The next prime is 5700334365601. The reversal of 5700334365600 is 65634330075.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (5700334365601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 96755352 + ... + 96814248.

It is an arithmetic number, because the mean of its divisors is an integer number (50024309524).

Almost surely, 2^{5700334365600} is an apocalyptic number.

5700334365600 is a gapful number since it is divisible by the number (50) 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 5700334365600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10805250857184).

5700334365600 is an abundant number, since it is smaller than the sum of its proper divisors (15910167348768).

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

5700334365600 is a wasteful number, since it uses less digits than its factorization.

5700334365600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59757 (or 59737 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 42.

Adding to 5700334365600 its reverse (65634330075), we get a palindrome (5765968695675).

The spelling of 5700334365600 in words is "five trillion, seven hundred billion, three hundred thirty-four million, three hundred sixty-five thousand, six hundred".