5199814800 has 180 divisors, whose sum is σ = 18214794000. Its totient is φ = 1373556480.

The previous prime is 5199814757. The next prime is 5199814801. The reversal of 5199814800 is 84189915.

5199814800 is a `hidden beast` number, since 5 + 1 + 99 + 81 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-3 number, since 3×5199814800³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (5199814801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 378451 + ... + 391949.

It is an arithmetic number, because the mean of its divisors is an integer number (101193300).

Almost surely, 2^5199814800 is an apocalyptic number.

5199814800 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 5199814800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9107397000).

5199814800 is an abundant number, since it is smaller than the sum of its proper divisors (13014979200).

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

5199814800 is a wasteful number, since it uses less digits than its factorization.

5199814800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13630 (or 13616 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 45.

The square root of 5199814800 is about 72109.7413668916. The cubic root of 5199814800 is about 1732.4576428117.

The spelling of 5199814800 in words is "five billion, one hundred ninety-nine million, eight hundred fourteen thousand, eight hundred".