5567948800 has 144 divisors (see below), whose sum is σ = 14619493980. Its totient is φ = 2095841280.

The previous prime is 5567948797. The next prime is 5567948801. The reversal of 5567948800 is 88497655.

It can be written as a sum of positive squares in 6 ways, for example, as 1021953024 + 4545995776 = 31968^2 + 67424^2 .

It is not an unprimeable number, because it can be changed into a prime (5567948801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 867202 + ... + 873598.

Almost surely, 2^5567948800 is an apocalyptic number.

5567948800 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 5567948800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7309746990).

5567948800 is an abundant number, since it is smaller than the sum of its proper divisors (9051545180).

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

5567948800 is a wasteful number, since it uses less digits than its factorization.

5567948800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6446 (or 6421 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 52.

The square root of 5567948800 is about 74618.6893479107. The cubic root of 5567948800 is about 1772.4136159587.

The spelling of 5567948800 in words is "five billion, five hundred sixty-seven million, nine hundred forty-eight thousand, eight hundred".