55360000 has 100 divisors (see below), whose sum is σ = 139019562. Its totient is φ = 22016000.

The previous prime is 55359991. The next prime is 55360021. The reversal of 55360000 is 6355.

It can be written as a sum of positive squares in 5 ways, for example, as 6471936 + 48888064 = 2544^2 + 6992^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a self number, because there is not a number n which added to its sum of digits gives 55360000.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 319914 + ... + 320086.

Almost surely, 2^55360000 is an apocalyptic number.

55360000 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 55360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69509781).

55360000 is an abundant number, since it is smaller than the sum of its proper divisors (83659562).

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

55360000 is an frugal number, since it uses more digits than its factorization.

55360000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 19.

The square root of 55360000 is about 7440.4300950953. The cubic root of 55360000 is about 381.1231773818.

Adding to 55360000 its reverse (6355), we get a palindrome (55366355).

The spelling of 55360000 in words is "fifty-five million, three hundred sixty thousand".