4959588900 has 216 divisors, whose sum is σ = 17419510080. Its totient is φ = 1084258560.

The previous prime is 4959588869. The next prime is 4959588917. The reversal of 4959588900 is 98859594.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 330766 + ... + 345434.

It is an arithmetic number, because the mean of its divisors is an integer number (80645880).

Almost surely, 2^4959588900 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 4959588900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8709755040).

4959588900 is an abundant number, since it is smaller than the sum of its proper divisors (12459921180).

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

4959588900 is a wasteful number, since it uses less digits than its factorization.

4959588900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14723 (or 14709 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 57.

The square root of 4959588900 is about 70424.3487722819. The cubic root of 4959588900 is about 1705.3566789902.

The spelling of 4959588900 in words is "four billion, nine hundred fifty-nine million, five hundred eighty-eight thousand, nine hundred".