5364828764100 has 243 divisors, whose sum is σ = 18211845547623. Its totient is φ = 1320350878080.

The previous prime is 5364828764089. The next prime is 5364828764107. The reversal of 5364828764100 is 14678284635.

It is a happy number.

The square root of 5364828764100 is 2316210.

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

5364828764100 is a `hidden beast` number, since 53 + 6 + 482 + 8 + 7 + 6 + 4 + 100 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1382792550084 + 3982036214016 = 1175922^2 + 1995504^2 .

It is a super-2 number, since 2×5364828764100² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5364828764107) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 903318931 + ... + 903324869.

Almost surely, 2^{5364828764100} is an apocalyptic number.

5364828764100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5364828764100 is the 2316210-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5364828764100

5364828764100 is an abundant number, since it is smaller than the sum of its proper divisors (12847016783523).

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

5364828764100 is a wasteful number, since it uses less digits than its factorization.

5364828764100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11924 (or 5962 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 5364828764100 in words is "five trillion, three hundred sixty-four billion, eight hundred twenty-eight million, seven hundred sixty-four thousand, one hundred".