5665511100 has 72 divisors (see below), whose sum is σ = 16483944960. Its totient is φ = 1502348480.

The previous prime is 5665511081. The next prime is 5665511119. The reversal of 5665511100 is 11155665.

It is an interprime number because it is at equal distance from previous prime (5665511081) and next prime (5665511119).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent 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 23 ways as a sum of consecutive naturals, for example, 949 + ... + 106451.

It is an arithmetic number, because the mean of its divisors is an integer number (228943680).

Almost surely, 2^5665511100 is an apocalyptic number.

5665511100 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 5665511100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8241972480).

5665511100 is an abundant number, since it is smaller than the sum of its proper divisors (10818433860).

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

5665511100 is a wasteful number, since it uses less digits than its factorization.

5665511100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105699 (or 105692 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 30.

The square root of 5665511100 is about 75269.5894767601. The cubic root of 5665511100 is about 1782.7058853777.

Adding to 5665511100 its reverse (11155665), we get a palindrome (5676666765).

The spelling of 5665511100 in words is "five billion, six hundred sixty-five million, five hundred eleven thousand, one hundred".