5557182800 has 120 divisors (see below), whose sum is σ = 14406812280. Its totient is φ = 2047795200.

The previous prime is 5557182769. The next prime is 5557182823. The reversal of 5557182800 is 82817555.

It can be written as a sum of positive squares in 12 ways, for example, as 365115664 + 5192067136 = 19108^2 + 72056^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4206140 + ... + 4207460.

It is an arithmetic number, because the mean of its divisors is an integer number (120056769).

Almost surely, 2^5557182800 is an apocalyptic number.

5557182800 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 5557182800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7203406140).

5557182800 is an abundant number, since it is smaller than the sum of its proper divisors (8849629480).

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

5557182800 is a wasteful number, since it uses less digits than its factorization.

5557182800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2161 (or 2150 counting only the distinct ones).

The product of its (nonzero) digits is 112000, while the sum is 41.

The square root of 5557182800 is about 74546.5143383646. The cubic root of 5557182800 is about 1771.2705189494.

The spelling of 5557182800 in words is "five billion, five hundred fifty-seven million, one hundred eighty-two thousand, eight hundred".