55532400 has 240 divisors, whose sum is σ = 222152448. Its totient is φ = 11520000.

The previous prime is 55532359. The next prime is 55532431. The reversal of 55532400 is 423555.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 92100 + ... + 92700.

Almost surely, 2^55532400 is an apocalyptic number.

55532400 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 55532400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111076224).

55532400 is an abundant number, since it is smaller than the sum of its proper divisors (166620048).

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

55532400 is a wasteful number, since it uses less digits than its factorization.

55532400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 24.

The square root of 55532400 is about 7452.0064412210. The cubic root of 55532400 is about 381.5183938290.

Adding to 55532400 its reverse (423555), we get a palindrome (55955955).

The spelling of 55532400 in words is "fifty-five million, five hundred thirty-two thousand, four hundred".