5665565100100 has 72 divisors (see below), whose sum is σ = 13294436601600. Its totient is φ = 2087537349120.

The previous prime is 5665565100077. The next prime is 5665565100109. The reversal of 5665565100100 is 10015655665.

It is a super-2 number, since 2×5665565100100² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5665565100109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35374200 + ... + 35533999.

It is an arithmetic number, because the mean of its divisors is an integer number (184644952800).

Almost surely, 2^{5665565100100} is an apocalyptic number.

5665565100100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5665565100100 is an abundant number, since it is smaller than the sum of its proper divisors (7628871501500).

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

5665565100100 is a wasteful number, since it uses less digits than its factorization.

5665565100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70908277 (or 70908270 counting only the distinct ones).

The product of its (nonzero) digits is 135000, while the sum is 40.

The spelling of 5665565100100 in words is "five trillion, six hundred sixty-five billion, five hundred sixty-five million, one hundred thousand, one hundred".