5700740803200 has 288 divisors, whose sum is σ = 20352186913500. Its totient is φ = 1519402598400.

The previous prime is 5700740803183. The next prime is 5700740803207. The reversal of 5700740803200 is 23080470075.

5700740803200 is a `hidden beast` number, since 570 + 0 + 7 + 4 + 0 + 80 + 3 + 2 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1318216274496 + 4382524528704 = 1148136^2 + 2093448^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×5700740803200² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5700740803207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 56080420 + ... + 56181980.

Almost surely, 2^{5700740803200} is an apocalyptic number.

5700740803200 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 5700740803200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10176093456750).

5700740803200 is an abundant number, since it is smaller than the sum of its proper divisors (14651446110300).

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

5700740803200 is a wasteful number, since it uses less digits than its factorization.

5700740803200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103540 (or 103520 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 5700740803200 in words is "five trillion, seven hundred billion, seven hundred forty million, eight hundred three thousand, two hundred".