5182819200 has 576 divisors, whose sum is σ = 20257036800. Its totient is φ = 1254113280.

The previous prime is 5182819171. The next prime is 5182819211. The reversal of 5182819200 is 29182815.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×5182819200² = 53723229719777280000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 40809537 + ... + 40809663.

Almost surely, 2^5182819200 is an apocalyptic number.

5182819200 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 5182819200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10128518400).

5182819200 is an abundant number, since it is smaller than the sum of its proper divisors (15074217600).

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

5182819200 is a wasteful number, since it uses less digits than its factorization.

5182819200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 5182819200 is about 71991.7995330024. The cubic root of 5182819200 is about 1730.5680694297.

The spelling of 5182819200 in words is "five billion, one hundred eighty-two million, eight hundred nineteen thousand, two hundred".