5757244416 has 792 divisors, whose sum is σ = 22570385760. Its totient is φ = 1393459200.

The previous prime is 5757244403. The next prime is 5757244417. The reversal of 5757244416 is 6144427575.

5757244416 is a `hidden beast` number, since 575 + 7 + 24 + 44 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (792).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5757244417) by changing a digit.

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, 94381026 + ... + 94381086.

Almost surely, 2^5757244416 is an apocalyptic number.

5757244416 is a gapful number since it is divisible by the number (56) 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 5757244416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11285192880).

5757244416 is an abundant number, since it is smaller than the sum of its proper divisors (16813141344).

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

5757244416 is a wasteful number, since it uses less digits than its factorization.

5757244416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 103 counting only the distinct ones).

The product of its digits is 940800, while the sum is 45.

The square root of 5757244416 is about 75876.5076687113. The cubic root of 5757244416 is about 1792.2759991558.

The spelling of 5757244416 in words is "five billion, seven hundred fifty-seven million, two hundred forty-four thousand, four hundred sixteen".