5149960200 has 576 divisors, whose sum is σ = 21901276800. Its totient is φ = 1053388800.

The previous prime is 5149960171. The next prime is 5149960201. The reversal of 5149960200 is 20699415.

5149960200 is a `hidden beast` number, since 5 + 1 + 49 + 9 + 602 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5149960201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10117546 + ... + 10118054.

It is an arithmetic number, because the mean of its divisors is an integer number (38023050).

Almost surely, 2^5149960200 is an apocalyptic number.

5149960200 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 5149960200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10950638400).

5149960200 is an abundant number, since it is smaller than the sum of its proper divisors (16751316600).

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

5149960200 is a wasteful number, since it uses less digits than its factorization.

5149960200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 5149960200 is about 71763.2231717612. The cubic root of 5149960200 is about 1726.9030541203.

The spelling of 5149960200 in words is "five billion, one hundred forty-nine million, nine hundred sixty thousand, two hundred".