42555600 has 90 divisors (see below), whose sum is σ = 147692246. Its totient is φ = 11347200.

The previous prime is 42555577. The next prime is 42555619. The reversal of 42555600 is 655524.

42555600 is a `hidden beast` number, since 4 + 2 + 5 + 55 + 600 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 97344 + 42458256 = 312^2 + 6516^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2311 + ... + 9510.

Almost surely, 2^42555600 is an apocalyptic number.

42555600 is a gapful number since it is divisible by the number (40) 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 42555600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73846123).

42555600 is an abundant number, since it is smaller than the sum of its proper divisors (105136646).

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

42555600 is a wasteful number, since it uses less digits than its factorization.

42555600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11845 (or 11831 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 42555600 is about 6523.4653367670. The cubic root of 42555600 is about 349.1287172000.

The spelling of 42555600 in words is "forty-two million, five hundred fifty-five thousand, six hundred".