5197579200 has 756 divisors, whose sum is σ = 21510350680. Its totient is φ = 1186099200.

The previous prime is 5197579193. The next prime is 5197579213. The reversal of 5197579200 is 29757915.

5197579200 is a `hidden beast` number, since 51 + 9 + 7 + 579 + 20 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 33105522 + ... + 33105678.

Almost surely, 2^5197579200 is an apocalyptic number.

5197579200 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 5197579200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10755175340).

5197579200 is an abundant number, since it is smaller than the sum of its proper divisors (16312771480).

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

5197579200 is a wasteful number, since it uses less digits than its factorization.

5197579200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 198450, while the sum is 45.

The square root of 5197579200 is about 72094.2383273449. The cubic root of 5197579200 is about 1732.2093238715.

The spelling of 5197579200 in words is "five billion, one hundred ninety-seven million, five hundred seventy-nine thousand, two hundred".