5018149200 has 240 divisors, whose sum is σ = 16932666240. Its totient is φ = 1267875840.

The previous prime is 5018149163. The next prime is 5018149217. The reversal of 5018149200 is 29418105.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 3117996 + ... + 3119604.

It is an arithmetic number, because the mean of its divisors is an integer number (70552776).

Almost surely, 2^5018149200 is an apocalyptic number.

5018149200 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 5018149200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8466333120).

5018149200 is an abundant number, since it is smaller than the sum of its proper divisors (11914517040).

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

5018149200 is a wasteful number, since it uses less digits than its factorization.

5018149200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1766 (or 1755 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 5018149200 is about 70838.8960952950. The cubic root of 5018149200 is about 1712.0424280544.

The spelling of 5018149200 in words is "five billion, eighteen million, one hundred forty-nine thousand, two hundred".