5565399992100 has 729 divisors, whose sum is σ = 19821898021107. Its totient is φ = 1305399363840.

The previous prime is 5565399992071. The next prime is 5565399992107. The reversal of 5565399992100 is 12999935655.

The square root of 5565399992100 is 2359110.

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

5565399992100 is a `hidden beast` number, since 5 + 5 + 6 + 539 + 9 + 9 + 92 + 1 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1434490080804 + 4130909911296 = 1197702^2 + 2032464^2 .

It is not an unprimeable number, because it can be changed into a prime (5565399992107) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 21161216569 + ... + 21161216831.

Almost surely, 2^{5565399992100} is an apocalyptic number.

5565399992100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5565399992100 is the 2359110-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5565399992100

5565399992100 is an abundant number, since it is smaller than the sum of its proper divisors (14256498029007).

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

5565399992100 is a wasteful number, since it uses less digits than its factorization.

5565399992100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 29524500, while the sum is 63.

The spelling of 5565399992100 in words is "five trillion, five hundred sixty-five billion, three hundred ninety-nine million, nine hundred ninety-two thousand, one hundred".