55506600 has 192 divisors, whose sum is σ = 201624000. Its totient is φ = 13996800.

The previous prime is 55506599. The next prime is 55506637. The reversal of 55506600 is 660555.

55506600 is a `hidden beast` number, since 5 + 5 + 50 + 6 + 600 = 666.

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

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, 102330 + ... + 102870.

It is an arithmetic number, because the mean of its divisors is an integer number (1050125).

Almost surely, 2^55506600 is an apocalyptic number.

55506600 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 55506600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100812000).

55506600 is an abundant number, since it is smaller than the sum of its proper divisors (146117400).

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

55506600 is a wasteful number, since it uses less digits than its factorization.

55506600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 55506600 is about 7450.2751627037. The cubic root of 55506600 is about 381.4593010032.

The spelling of 55506600 in words is "fifty-five million, five hundred six thousand, six hundred".