5533872100 has 81 divisors (see below), whose sum is σ = 12365740443. Its totient is φ = 2149573440.

The previous prime is 5533872089. The next prime is 5533872139. The reversal of 5533872100 is 12783355.

The square root of 5533872100 is 74390.

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 609201124 + 4924670976 = 24682^2 + 70176^2 .

It is a Duffinian number.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 31987614 + ... + 31987786.

Almost surely, 2^5533872100 is an apocalyptic number.

5533872100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5533872100 is the 74390-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5533872100

5533872100 is an abundant number, since it is smaller than the sum of its proper divisors (6831868343).

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

5533872100 is a wasteful number, since it uses less digits than its factorization.

5533872100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 34.

The cubic root of 5533872100 is about 1768.7904000062.

The spelling of 5533872100 in words is "five billion, five hundred thirty-three million, eight hundred seventy-two thousand, one hundred".