5382075204900 has 405 divisors, whose sum is σ = 17666553841321. Its totient is φ = 1417347313920.

The previous prime is 5382075204841. The next prime is 5382075204911. The reversal of 5382075204900 is 94025702835.

The square root of 5382075204900 is 2319930.

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

5382075204900 is a `hidden beast` number, since 5 + 3 + 82 + 0 + 7 + 520 + 49 + 0 + 0 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 3214325465316 + 2167749739584 = 1792854^2 + 1472328^2 .

It is a tau number, because it is divible by the number of its divisors (405).

It is a super-2 number, since 2×5382075204900² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

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, 31110261214 + ... + 31110261386.

Almost surely, 2^{5382075204900} is an apocalyptic number.

5382075204900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5382075204900 is the 2319930-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5382075204900

5382075204900 is an abundant number, since it is smaller than the sum of its proper divisors (12284478636421).

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

5382075204900 is a wasteful number, since it uses less digits than its factorization.

5382075204900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 5382075204900 in words is "five trillion, three hundred eighty-two billion, seventy-five million, two hundred four thousand, nine hundred".