5486421600 has 720 divisors, whose sum is σ = 22459187520. Its totient is φ = 1291852800.

The previous prime is 5486421581. The next prime is 5486421607. The reversal of 5486421600 is 61246845.

5486421600 is a `hidden beast` number, since 5 + 4 + 8 + 6 + 42 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5486421607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 30650311 + ... + 30650489.

It is an arithmetic number, because the mean of its divisors is an integer number (31193316).

Almost surely, 2^5486421600 is an apocalyptic number.

5486421600 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 5486421600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11229593760).

5486421600 is an abundant number, since it is smaller than the sum of its proper divisors (16972765920).

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

5486421600 is a wasteful number, since it uses less digits than its factorization.

5486421600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 5486421600 is about 74070.3827450621. The cubic root of 5486421600 is about 1763.7203499491.

The spelling of 5486421600 in words is "five billion, four hundred eighty-six million, four hundred twenty-one thousand, six hundred".