5426244052200 has 288 divisors, whose sum is σ = 19371985738560. Its totient is φ = 1356453120000.

The previous prime is 5426244052181. The next prime is 5426244052211. The reversal of 5426244052200 is 22504426245.

5426244052200 is a `hidden beast` number, since 5 + 4 + 2 + 6 + 2 + 440 + 5 + 2 + 200 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7327357 + ... + 8033843.

It is an arithmetic number, because the mean of its divisors is an integer number (67263839370).

Almost surely, 2^{5426244052200} is an apocalyptic number.

5426244052200 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 5426244052200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9685992869280).

5426244052200 is an abundant number, since it is smaller than the sum of its proper divisors (13945741686360).

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

5426244052200 is a wasteful number, since it uses less digits than its factorization.

5426244052200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706777 (or 706765 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

Adding to 5426244052200 its reverse (22504426245), we get a palindrome (5448748478445).

The spelling of 5426244052200 in words is "five trillion, four hundred twenty-six billion, two hundred forty-four million, fifty-two thousand, two hundred".