5029837852900 has 405 divisors, whose sum is σ = 13378023602601. Its totient is φ = 1641247755840.

The previous prime is 5029837852873. The next prime is 5029837852903. The reversal of 5029837852900 is 92587389205.

The square root of 5029837852900 is 2242730.

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., 1810741627044 + 3219096225856 = 1345638^2 + 1794184^2 .

It is not an unprimeable number, because it can be changed into a prime (5029837852903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 25275567001 + ... + 25275567199.

Almost surely, 2^{5029837852900} is an apocalyptic number.

5029837852900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5029837852900 is the 2242730-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5029837852900

5029837852900 is an abundant number, since it is smaller than the sum of its proper divisors (8348185749701).

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

5029837852900 is an equidigital number, since it uses as much as digits as its factorization.

5029837852900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 58.

The spelling of 5029837852900 in words is "five trillion, twenty-nine billion, eight hundred thirty-seven million, eight hundred fifty-two thousand, nine hundred".