5559980400 has 360 divisors, whose sum is σ = 21419306160. Its totient is φ = 1361733120.

The previous prime is 5559980381. The next prime is 5559980467. The reversal of 5559980400 is 40899555.

5559980400 is a `hidden beast` number, since 5 + 559 + 98 + 0 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-3 number, since 3×5559980400³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 27939501 + ... + 27939699.

Almost surely, 2^5559980400 is an apocalyptic number.

5559980400 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 5559980400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10709653080).

5559980400 is an abundant number, since it is smaller than the sum of its proper divisors (15859325760).

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

5559980400 is a wasteful number, since it uses less digits than its factorization.

5559980400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 45.

The square root of 5559980400 is about 74565.2761008769. The cubic root of 5559980400 is about 1771.5677004098.

The spelling of 5559980400 in words is "five billion, five hundred fifty-nine million, nine hundred eighty thousand, four hundred".