55234400400 has 135 divisors (see below), whose sum is σ = 191727659851. Its totient is φ = 14725413120.

The previous prime is 55234400383. The next prime is 55234400401. The reversal of 55234400400 is 400443255.

The square root of 55234400400 is 235020.

It is a perfect power (a square), and thus also a powerful number.

55234400400 is a `hidden beast` number, since 552 + 34 + 40 + 0 + 40 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2017447056 + 53216953344 = 44916^2 + 230688^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (55234400401) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 14099242 + ... + 14103158.

Almost surely, 2^55234400400 is an apocalyptic number.

55234400400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

55234400400 is the 235020-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55234400400

55234400400 is an abundant number, since it is smaller than the sum of its proper divisors (136493259451).

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

55234400400 is an equidigital number, since it uses as much as digits as its factorization.

55234400400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7858 (or 3927 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

Adding to 55234400400 its reverse (400443255), we get a palindrome (55634843655).

The spelling of 55234400400 in words is "fifty-five billion, two hundred thirty-four million, four hundred thousand, four hundred".