5147181600 has 288 divisors, whose sum is σ = 18375698880. Its totient is φ = 1241088000.

The previous prime is 5147181593. The next prime is 5147181619. The reversal of 5147181600 is 61817415.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 6361996 + ... + 6362804.

It is an arithmetic number, because the mean of its divisors is an integer number (63804510).

Almost surely, 2^5147181600 is an apocalyptic number.

5147181600 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 5147181600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9187849440).

5147181600 is an abundant number, since it is smaller than the sum of its proper divisors (13228517280).

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

5147181600 is a wasteful number, since it uses less digits than its factorization.

5147181600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1084 (or 1071 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 33.

The square root of 5147181600 is about 71743.8610614177. The cubic root of 5147181600 is about 1726.5924215544.

The spelling of 5147181600 in words is "five billion, one hundred forty-seven million, one hundred eighty-one thousand, six hundred".