5760998600 has 288 divisors, whose sum is σ = 16564564800. Its totient is φ = 1853913600.

The previous prime is 5760998599. The next prime is 5760998603. The reversal of 5760998600 is 68990675.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5760998603) 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 71 ways as a sum of consecutive naturals, for example, 13749191 + ... + 13749609.

It is an arithmetic number, because the mean of its divisors is an integer number (57515850).

Almost surely, 2^5760998600 is an apocalyptic number.

5760998600 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 5760998600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8282282400).

5760998600 is an abundant number, since it is smaller than the sum of its proper divisors (10803566200).

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

5760998600 is a wasteful number, since it uses less digits than its factorization.

5760998600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 50.

The square root of 5760998600 is about 75901.2424140738. The cubic root of 5760998600 is about 1792.6654836273.

The spelling of 5760998600 in words is "five billion, seven hundred sixty million, nine hundred ninety-eight thousand, six hundred".