5758038144 has 128 divisors (see below), whose sum is σ = 17051707200. Its totient is φ = 1912854528.

The previous prime is 5758038133. The next prime is 5758038157. The reversal of 5758038144 is 4418308575.

5758038144 is a `hidden beast` number, since 57 + 580 + 3 + 8 + 14 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 5758038144.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1079067 + ... + 1084389.

Almost surely, 2^5758038144 is an apocalyptic number.

5758038144 is a gapful number since it is divisible by the number (54) 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 5758038144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8525853600).

5758038144 is an abundant number, since it is smaller than the sum of its proper divisors (11293669056).

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

5758038144 is a wasteful number, since it uses less digits than its factorization.

5758038144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5659 (or 5641 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The square root of 5758038144 is about 75881.7378820491. The cubic root of 5758038144 is about 1792.3583599851.

The spelling of 5758038144 in words is "five billion, seven hundred fifty-eight million, thirty-eight thousand, one hundred forty-four".