5755893984 has 72 divisors (see below), whose sum is σ = 16426394712. Its totient is φ = 1911824640.

The previous prime is 5755893973. The next prime is 5755894007. The reversal of 5755893984 is 4893985575.

5755893984 is a `hidden beast` number, since 575 + 58 + 9 + 3 + 9 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46194 + ... + 116814.

It is an arithmetic number, because the mean of its divisors is an integer number (228144371).

Almost surely, 2^5755893984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5755893984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8213197356).

5755893984 is an abundant number, since it is smaller than the sum of its proper divisors (10670500728).

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

5755893984 is a wasteful number, since it uses less digits than its factorization.

5755893984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70920 (or 70909 counting only the distinct ones).

The product of its digits is 54432000, while the sum is 63.

The square root of 5755893984 is about 75867.6082659787. The cubic root of 5755893984 is about 1792.1358547886.

The spelling of 5755893984 in words is "five billion, seven hundred fifty-five million, eight hundred ninety-three thousand, nine hundred eighty-four".