5665552100 has 72 divisors (see below), whose sum is σ = 13260979368. Its totient is φ = 2088576000.

The previous prime is 5665552097. The next prime is 5665552103. The reversal of 5665552100 is 12555665.

It is an interprime number because it is at equal distance from previous prime (5665552097) and next prime (5665552103).

It can be written as a sum of positive squares in 12 ways, for example, as 875804836 + 4789747264 = 29594^2 + 69208^2 .

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (5665552103) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 908192 + ... + 914408.

It is an arithmetic number, because the mean of its divisors is an integer number (184180269).

Almost surely, 2^5665552100 is an apocalyptic number.

5665552100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5665552100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6630489684).

5665552100 is an abundant number, since it is smaller than the sum of its proper divisors (7595427268).

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

5665552100 is a wasteful number, since it uses less digits than its factorization.

5665552100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6945 (or 6938 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 35.

The square root of 5665552100 is about 75269.8618306158. The cubic root of 5665552100 is about 1782.7101857114.

The spelling of 5665552100 in words is "five billion, six hundred sixty-five million, five hundred fifty-two thousand, one hundred".