5189794400 has 144 divisors (see below), whose sum is σ = 14664061440. Its totient is φ = 1756684800.

The previous prime is 5189794373. The next prime is 5189794411. The reversal of 5189794400 is 44979815.

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 23 ways as a sum of consecutive naturals, for example, 436535 + ... + 448265.

It is an arithmetic number, because the mean of its divisors is an integer number (101833760).

Almost surely, 2^5189794400 is an apocalyptic number.

5189794400 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 5189794400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7332030720).

5189794400 is an abundant number, since it is smaller than the sum of its proper divisors (9474267040).

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

5189794400 is a wasteful number, since it uses less digits than its factorization.

5189794400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11837 (or 11824 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 47.

The square root of 5189794400 is about 72040.2276509451. The cubic root of 5189794400 is about 1731.3440722688.

The spelling of 5189794400 in words is "five billion, one hundred eighty-nine million, seven hundred ninety-four thousand, four hundred".