5472184132800 has 5040 divisors, whose sum is σ = 27878344243200. Its totient is φ = 1042481664000.

The previous prime is 5472184132787. The next prime is 5472184132843. The reversal of 5472184132800 is 82314812745.

5472184132800 is a `hidden beast` number, since 547 + 2 + 1 + 84 + 1 + 3 + 28 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5040).

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

It is an unprimeable number.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 176522068785 + ... + 176522068815.

Almost surely, 2^{5472184132800} is an apocalyptic number.

5472184132800 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 5472184132800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13939172121600).

5472184132800 is an abundant number, since it is smaller than the sum of its proper divisors (22406160110400).

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

5472184132800 is a wasteful number, since it uses less digits than its factorization.

5472184132800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 5472184132800 in words is "five trillion, four hundred seventy-two billion, one hundred eighty-four million, one hundred thirty-two thousand, eight hundred".