55036800 has 576 divisors, whose sum is σ = 252327600. Its totient is φ = 11612160.

The previous prime is 55036789. The next prime is 55036879. The reversal of 55036800 is 863055.

55036800 is a `hidden beast` number, since 550 + 36 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4233594 + ... + 4233606.

Almost surely, 2^55036800 is an apocalyptic number.

55036800 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 55036800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126163800).

55036800 is an abundant number, since it is smaller than the sum of its proper divisors (197290800).

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

55036800 is a wasteful number, since it uses less digits than its factorization.

55036800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 55036800 is about 7418.6791277154. The cubic root of 55036800 is about 380.3800445303.

Adding to 55036800 its reverse (863055), we get a palindrome (55899855).

The spelling of 55036800 in words is "fifty-five million, thirty-six thousand, eight hundred".