5013187200 has 672 divisors, whose sum is σ = 21289366560. Its totient is φ = 1142138880.

The previous prime is 5013187199. The next prime is 5013187229. The reversal of 5013187200 is 27813105.

It is a tau number, because it is divible by the number of its divisors (672).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 16329447 + ... + 16329753.

It is an arithmetic number, because the mean of its divisors is an integer number (31680605).

Almost surely, 2^5013187200 is an apocalyptic number.

5013187200 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 5013187200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10644683280).

5013187200 is an abundant number, since it is smaller than the sum of its proper divisors (16276179360).

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

5013187200 is an equidigital number, since it uses as much as digits as its factorization.

5013187200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 5013187200 is about 70803.8643013219. The cubic root of 5013187200 is about 1711.4779466250.

The spelling of 5013187200 in words is "five billion, thirteen million, one hundred eighty-seven thousand, two hundred".