5498582400 has 384 divisors, whose sum is σ = 21005798400. Its totient is φ = 1402030080.

The previous prime is 5498582399. The next prime is 5498582461. The reversal of 5498582400 is 42858945.

5498582400 is a `hidden beast` number, since 549 + 85 + 8 + 24 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1985817 + ... + 1988583.

It is an arithmetic number, because the mean of its divisors is an integer number (54702600).

Almost surely, 2^5498582400 is an apocalyptic number.

5498582400 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 5498582400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10502899200).

5498582400 is an abundant number, since it is smaller than the sum of its proper divisors (15507216000).

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

5498582400 is a wasteful number, since it uses less digits than its factorization.

5498582400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2823 (or 2800 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The square root of 5498582400 is about 74152.4267977792. The cubic root of 5498582400 is about 1765.0224994256.

The spelling of 5498582400 in words is "five billion, four hundred ninety-eight million, five hundred eighty-two thousand, four hundred".