5158194249600 has 2304 divisors, whose sum is σ = 22777327872000. Its totient is φ = 1108729036800.

The previous prime is 5158194249599. The next prime is 5158194249647. The reversal of 5158194249600 is 69424918515.

5158194249600 is a `hidden beast` number, since 5 + 1 + 5 + 8 + 1 + 9 + 4 + 24 + 9 + 600 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 16585833445 + ... + 16585833755.

It is an arithmetic number, because the mean of its divisors is an integer number (9885993000).

Almost surely, 2^{5158194249600} is an apocalyptic number.

5158194249600 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 5158194249600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11388663936000).

5158194249600 is an abundant number, since it is smaller than the sum of its proper divisors (17619133622400).

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

5158194249600 is a wasteful number, since it uses less digits than its factorization.

5158194249600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 5158194249600 in words is "five trillion, one hundred fifty-eight billion, one hundred ninety-four million, two hundred forty-nine thousand, six hundred".