5193120200 has 96 divisors (see below), whose sum is σ = 12635251560. Its totient is φ = 1982822400.

The previous prime is 5193120197. The next prime is 5193120263. The reversal of 5193120200 is 20213915.

It can be written as a sum of positive squares in 12 ways, for example, as 3439353316 + 1753766884 = 58646^2 + 41878^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 385580 + ... + 398820.

Almost surely, 2^5193120200 is an apocalyptic number.

5193120200 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 5193120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6317625780).

5193120200 is an abundant number, since it is smaller than the sum of its proper divisors (7442131360).

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

5193120200 is a wasteful number, since it uses less digits than its factorization.

5193120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13347 (or 13338 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 23.

The square root of 5193120200 is about 72063.3068905390. The cubic root of 5193120200 is about 1731.7138283781.

The spelling of 5193120200 in words is "five billion, one hundred ninety-three million, one hundred twenty thousand, two hundred".