55200332642400 has 432 divisors, whose sum is σ = 212365977707520. Its totient is φ = 13380617395200.

The previous prime is 55200332642383. The next prime is 55200332642407. The reversal of 55200332642400 is 424623300255.

55200332642400 is a `hidden beast` number, since 5 + 5 + 2 + 0 + 0 + 3 + 3 + 2 + 642 + 4 + 0 + 0 = 666.

It is a super-2 number, since 2×55200332642400² (a number of 28 digits) contains 22 as substring.

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 (55200332642407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1026325909 + ... + 1026379691.

It is an arithmetic number, because the mean of its divisors is an integer number (491587911360).

Almost surely, 2^{55200332642400} is an apocalyptic number.

55200332642400 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 55200332642400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106182988853760).

55200332642400 is an abundant number, since it is smaller than the sum of its proper divisors (157165645065120).

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

55200332642400 is a wasteful number, since it uses less digits than its factorization.

55200332642400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66779 (or 66763 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

Adding to 55200332642400 its reverse (424623300255), we get a palindrome (55624955942655).

It can be divided in two parts, 55200 and 332642400, that added together give a square (332697600 = 18240²).

The spelling of 55200332642400 in words is "fifty-five trillion, two hundred billion, three hundred thirty-two million, six hundred forty-two thousand, four hundred".