55281414400 has 81 divisors (see below), whose sum is σ = 136876710901. Its totient is φ = 22105041920.

The previous prime is 55281414367. The next prime is 55281414439. The reversal of 55281414400 is 441418255.

The square root of 55281414400 is 235120.

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

It can be written as a sum of positive squares in only one way, i.e., 19901309184 + 35380105216 = 141072^2 + 188096^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 18808131 + ... + 18811069.

Almost surely, 2^55281414400 is an apocalyptic number.

55281414400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

55281414400 is the 235120-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55281414400

55281414400 is an abundant number, since it is smaller than the sum of its proper divisors (81595296501).

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

55281414400 is an frugal number, since it uses more digits than its factorization.

55281414400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5904 (or 2946 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 34.

The spelling of 55281414400 in words is "fifty-five billion, two hundred eighty-one million, four hundred fourteen thousand, four hundred".