5456128204800 has 2016 divisors, whose sum is σ = 25127524548000. Its totient is φ = 1150439915520.

The previous prime is 5456128204799. The next prime is 5456128204801. The reversal of 5456128204800 is 84028216545.

5456128204800 is a `hidden beast` number, since 5 + 4 + 5 + 612 + 8 + 20 + 4 + 8 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5456128204799) and next prime (5456128204801).

It is a tau number, because it is divible by the number of its divisors (2016).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5456128204801) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 3522354426 + ... + 3522355974.

It is an arithmetic number, because the mean of its divisors is an integer number (12464049875).

Almost surely, 2^{5456128204800} is an apocalyptic number.

5456128204800 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 5456128204800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12563762274000).

5456128204800 is an abundant number, since it is smaller than the sum of its proper divisors (19671396343200).

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

5456128204800 is a wasteful number, since it uses less digits than its factorization.

5456128204800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1621 (or 1579 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 5456128204800 in words is "five trillion, four hundred fifty-six billion, one hundred twenty-eight million, two hundred four thousand, eight hundred".