5701248000 has 792 divisors, whose sum is σ = 24135751224. Its totient is φ = 1290240000.

The previous prime is 5701247999. The next prime is 5701248017. The reversal of 5701248000 is 8421075.

5701248000 is a `hidden beast` number, since 570 + 12 + 4 + 80 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 36578304 + 5664669696 = 6048^2 + 75264^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 56447950 + ... + 56448050.

Almost surely, 2^5701248000 is an apocalyptic number.

5701248000 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 5701248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12067875612).

5701248000 is an abundant number, since it is smaller than the sum of its proper divisors (18434503224).

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

5701248000 is a wasteful number, since it uses less digits than its factorization.

5701248000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 5701248000 is about 75506.6089822606. The cubic root of 5701248000 is about 1786.4463479227.

Adding to 5701248000 its reverse (8421075), we get a palindrome (5709669075).

The spelling of 5701248000 in words is "five billion, seven hundred one million, two hundred forty-eight thousand".