5932098648100 has 81 divisors (see below), whose sum is σ = 13675365584083. Its totient is φ = 2233104789760.

The previous prime is 5932098648089. The next prime is 5932098648101. The reversal of 5932098648100 is 18468902395.

The square root of 5932098648100 is 2435590.

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

It can be written as a sum of positive squares in 4 ways, for example, as 138757740004 + 5793340908096 = 372502^2 + 2406936^2 .

It is a super-2 number, since 2×5932098648100² (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 (5932098648101) 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 26 ways as a sum of consecutive naturals, for example, 414043137 + ... + 414057463.

Almost surely, 2^{5932098648100} is an apocalyptic number.

5932098648100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5932098648100 is the 2435590-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5932098648100

5932098648100 is an abundant number, since it is smaller than the sum of its proper divisors (7743266935983).

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

5932098648100 is an equidigital number, since it uses as much as digits as its factorization.

5932098648100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28702 (or 14351 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 55.

The spelling of 5932098648100 in words is "five trillion, nine hundred thirty-two billion, ninety-eight million, six hundred forty-eight thousand, one hundred".