5194982400 has 528 divisors, whose sum is σ = 19079743104. Its totient is φ = 1239941120.

The previous prime is 5194982399. The next prime is 5194982411. The reversal of 5194982400 is 42894915.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30028714 + ... + 30028886.

Almost surely, 2^5194982400 is an apocalyptic number.

5194982400 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 5194982400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9539871552).

5194982400 is an abundant number, since it is smaller than the sum of its proper divisors (13884760704).

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

5194982400 is a wasteful number, since it uses less digits than its factorization.

5194982400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The square root of 5194982400 is about 72076.2263163104. The cubic root of 5194982400 is about 1731.9207952871.

The spelling of 5194982400 in words is "five billion, one hundred ninety-four million, nine hundred eighty-two thousand, four hundred".