5158621987600 has 405 divisors, whose sum is σ = 13488514711893. Its totient is φ = 1895648106240.

The previous prime is 5158621987583. The next prime is 5158621987609. The reversal of 5158621987600 is 67891268515.

It is a happy number.

The square root of 5158621987600 is 2271260.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1857103915536 + 3301518072064 = 1362756^2 + 1817008^2 .

It is a super-2 number, since 2×5158621987600² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5158621987609) by changing a digit.

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 80 ways as a sum of consecutive naturals, for example, 37112388331 + ... + 37112388469.

Almost surely, 2^{5158621987600} is an apocalyptic number.

5158621987600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5158621987600 is the 2271260-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5158621987600

5158621987600 is an abundant number, since it is smaller than the sum of its proper divisors (8329892724293).

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

5158621987600 is a wasteful number, since it uses less digits than its factorization.

5158621987600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 58.

The spelling of 5158621987600 in words is "five trillion, one hundred fifty-eight billion, six hundred twenty-one million, nine hundred eighty-seven thousand, six hundred".