5598806400 has 768 divisors, whose sum is σ = 23039596800. Its totient is φ = 1316044800.

The previous prime is 5598806377. The next prime is 5598806419. The reversal of 5598806400 is 46088955.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 40867132 + ... + 40867268.

It is an arithmetic number, because the mean of its divisors is an integer number (29999475).

Almost surely, 2^5598806400 is an apocalyptic number.

5598806400 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 5598806400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11519798400).

5598806400 is an abundant number, since it is smaller than the sum of its proper divisors (17440790400).

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

5598806400 is a wasteful number, since it uses less digits than its factorization.

5598806400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 5598806400 is about 74825.1722350173. The cubic root of 5598806400 is about 1775.6818275897.

The spelling of 5598806400 in words is "five billion, five hundred ninety-eight million, eight hundred six thousand, four hundred".