5759749296 has 300 divisors, whose sum is σ = 19532807112. Its totient is φ = 1642975488.

The previous prime is 5759749231. The next prime is 5759749297. The reversal of 5759749296 is 6929479575.

5759749296 is a `hidden beast` number, since 5 + 7 + 59 + 7 + 492 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (5759749297) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 9334780 + ... + 9335396.

Almost surely, 2^5759749296 is an apocalyptic number.

5759749296 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 5759749296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9766403556).

5759749296 is an abundant number, since it is smaller than the sum of its proper divisors (13773057816).

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

5759749296 is an frugal number, since it uses more digits than its factorization.

5759749296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668 (or 629 counting only the distinct ones).

The product of its digits is 42865200, while the sum is 63.

The square root of 5759749296 is about 75893.0121684467. The cubic root of 5759749296 is about 1792.5358911600.

The spelling of 5759749296 in words is "five billion, seven hundred fifty-nine million, seven hundred forty-nine thousand, two hundred ninety-six".