5199012000 has 1152 divisors, whose sum is σ = 24348280320. Its totient is φ = 1049241600.

The previous prime is 5199011989. The next prime is 5199012031. The reversal of 5199012000 is 2109915.

It is a happy number.

It is a super-2 number, since 2×5199012000² = 54059451552288000000, which contains 22 as substring.

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

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 226043989 + ... + 226044011.

It is an arithmetic number, because the mean of its divisors is an integer number (21135660).

Almost surely, 2^5199012000 is an apocalyptic number.

5199012000 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 5199012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12174140160).

5199012000 is an abundant number, since it is smaller than the sum of its proper divisors (19149268320).

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

5199012000 is a wasteful number, since it uses less digits than its factorization.

5199012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 27.

The square root of 5199012000 is about 72104.1746364245. The cubic root of 5199012000 is about 1732.3684801119.

The spelling of 5199012000 in words is "five billion, one hundred ninety-nine million, twelve thousand".