55018393600 has 117 divisors (see below), whose sum is σ = 136615338183. Its totient is φ = 21977333760.

The previous prime is 55018393597. The next prime is 55018393601. The reversal of 55018393600 is 639381055.

The square root of 55018393600 is 234560.

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

It can be written as a sum of positive squares in 4 ways, for example, as 12443848704 + 42574544896 = 111552^2 + 206336^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (55018393601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 75058834 + ... + 75059566.

Almost surely, 2^55018393600 is an apocalyptic number.

55018393600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

55018393600 is the 234560-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55018393600

55018393600 is an abundant number, since it is smaller than the sum of its proper divisors (81596944583).

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

55018393600 is an frugal number, since it uses more digits than its factorization.

55018393600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1500 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 40.

The spelling of 55018393600 in words is "fifty-five billion, eighteen million, three hundred ninety-three thousand, six hundred".