5197438800 has 360 divisors, whose sum is σ = 19292390208. Its totient is φ = 1292544000.

The previous prime is 5197438789. The next prime is 5197438819. The reversal of 5197438800 is 88347915.

5197438800 is a `hidden beast` number, since 51 + 97 + 438 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3394035 + ... + 3395565.

Almost surely, 2^5197438800 is an apocalyptic number.

5197438800 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 5197438800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9646195104).

5197438800 is an abundant number, since it is smaller than the sum of its proper divisors (14094951408).

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

5197438800 is a wasteful number, since it uses less digits than its factorization.

5197438800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1619 (or 1605 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 5197438800 is about 72093.2645952450. The cubic root of 5197438800 is about 1732.1937265861.

The spelling of 5197438800 in words is "five billion, one hundred ninety-seven million, four hundred thirty-eight thousand, eight hundred".