5705137800 has 240 divisors, whose sum is σ = 20058247440. Its totient is φ = 1502686080.

The previous prime is 5705137769. The next prime is 5705137807. The reversal of 5705137800 is 87315075.

5705137800 is a `hidden beast` number, since 5 + 70 + 513 + 78 + 0 + 0 = 666.

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 (5705137807) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1342479 + ... + 1346721.

It is an arithmetic number, because the mean of its divisors is an integer number (83576031).

Almost surely, 2^5705137800 is an apocalyptic number.

5705137800 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 5705137800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10029123720).

5705137800 is an abundant number, since it is smaller than the sum of its proper divisors (14353109640).

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

5705137800 is a wasteful number, since it uses less digits than its factorization.

5705137800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4354 (or 4336 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 36.

The square root of 5705137800 is about 75532.3626004112. The cubic root of 5705137800 is about 1786.8525361382.

The spelling of 5705137800 in words is "five billion, seven hundred five million, one hundred thirty-seven thousand, eight hundred".