55875600 has 360 divisors, whose sum is σ = 226672992. Its totient is φ = 12595200.

The previous prime is 55875577. The next prime is 55875601. The reversal of 55875600 is 657855.

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 (36).

It is not an unprimeable number, because it can be changed into a prime (55875601) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 673159 + ... + 673241.

Almost surely, 2^55875600 is an apocalyptic number.

55875600 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 55875600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113336496).

55875600 is an abundant number, since it is smaller than the sum of its proper divisors (170797392).

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

55875600 is a wasteful number, since it uses less digits than its factorization.

55875600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The square root of 55875600 is about 7474.9983277590. The cubic root of 55875600 is about 382.3027305223.

The spelling of 55875600 in words is "fifty-five million, eight hundred seventy-five thousand, six hundred".