55411200 has 360 divisors, whose sum is σ = 219327108. Its totient is φ = 13271040.

The previous prime is 55411193. The next prime is 55411217. The reversal of 55411200 is 211455.

55411200 is a `hidden beast` number, since 5 + 541 + 120 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 21678336 + 33732864 = 4656^2 + 5808^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1497582 + ... + 1497618.

Almost surely, 2^55411200 is an apocalyptic number.

55411200 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 55411200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109663554).

55411200 is an abundant number, since it is smaller than the sum of its proper divisors (163915908).

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

55411200 is a wasteful number, since it uses less digits than its factorization.

55411200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 55411200 is about 7443.8699612500. The cubic root of 55411200 is about 381.2406357997.

Adding to 55411200 its reverse (211455), we get a palindrome (55622655).

It can be divided in two parts, 55411 and 200, that added together give a triangular number (55611 = T₃₃₃).

The spelling of 55411200 in words is "fifty-five million, four hundred eleven thousand, two hundred".