5111683200 has 960 divisors, whose sum is σ = 21372147720. Its totient is φ = 1194393600.

The previous prime is 5111683189. The next prime is 5111683201. The reversal of 5111683200 is 23861115.

It can be written as a sum of positive squares in 12 ways, for example, as 5184 + 5111678016 = 72^2 + 71496^2 .

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×5111683200² = 52258610274324480000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (5111683201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 124675180 + ... + 124675220.

Almost surely, 2^5111683200 is an apocalyptic number.

5111683200 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 5111683200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10686073860).

5111683200 is an abundant number, since it is smaller than the sum of its proper divisors (16260464520).

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

5111683200 is a wasteful number, since it uses less digits than its factorization.

5111683200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 5111683200 is about 71496.0362537672. The cubic root of 5111683200 is about 1722.6140169710.

5111683200 divided by its product of nonzero digits (1440) gives a triangular number (3549780 = T₂₆₆₄).

The spelling of 5111683200 in words is "five billion, one hundred eleven million, six hundred eighty-three thousand, two hundred".