5753979000 has 1152 divisors, whose sum is σ = 26703406080. Its totient is φ = 1083456000.

The previous prime is 5753978963. The next prime is 5753979013. The reversal of 5753979000 is 9793575.

5753979000 = 10³ + 11³ + ... + 389³.

It is a happy number.

5753979000 is a `hidden beast` number, since 575 + 3 + 9 + 79 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 287 ways as a sum of consecutive naturals, for example, 250172989 + ... + 250173011.

It is an arithmetic number, because the mean of its divisors is an integer number (23180040).

Almost surely, 2^5753979000 is an apocalyptic number.

5753979000 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 5753979000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13351703040).

5753979000 is an abundant number, since it is smaller than the sum of its proper divisors (20949427080).

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

5753979000 is a wasteful number, since it uses less digits than its factorization.

5753979000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 297675, while the sum is 45.

The square root of 5753979000 is about 75854.9866521641. The cubic root of 5753979000 is about 1791.9370850772.

The spelling of 5753979000 in words is "five billion, seven hundred fifty-three million, nine hundred seventy-nine thousand".