5144332600 has 192 divisors, whose sum is σ = 13894467840. Its totient is φ = 1750579200.

The previous prime is 5144332469. The next prime is 5144332621. The reversal of 5144332600 is 62334415.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9835939 + ... + 9836461.

It is an arithmetic number, because the mean of its divisors is an integer number (72367020).

Almost surely, 2^5144332600 is an apocalyptic number.

5144332600 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 5144332600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6947233920).

5144332600 is an abundant number, since it is smaller than the sum of its proper divisors (8750135240).

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

5144332600 is a wasteful number, since it uses less digits than its factorization.

5144332600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 830 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 5144332600 is about 71724.0029557749. The cubic root of 5144332600 is about 1726.2738025477.

The spelling of 5144332600 in words is "five billion, one hundred forty-four million, three hundred thirty-two thousand, six hundred".