5427800268800 has 672 divisors, whose sum is σ = 16652253687552. Its totient is φ = 1708908871680.

The previous prime is 5427800268799. The next prime is 5427800268827. The reversal of 5427800268800 is 88620087245.

It is a happy number.

It is a super-2 number, since 2×5427800268800² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (50).

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, 4230552959 + ... + 4230554241.

It is an arithmetic number, because the mean of its divisors is an integer number (24780139416).

Almost surely, 2^{5427800268800} is an apocalyptic number.

5427800268800 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 5427800268800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8326126843776).

5427800268800 is an abundant number, since it is smaller than the sum of its proper divisors (11224453418752).

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

5427800268800 is a wasteful number, since it uses less digits than its factorization.

5427800268800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1566 (or 1537 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 50.

The spelling of 5427800268800 in words is "five trillion, four hundred twenty-seven billion, eight hundred million, two hundred sixty-eight thousand, eight hundred".