42553160 has 128 divisors (see below), whose sum is σ = 111888000. Its totient is φ = 14432256.

The previous prime is 42553157. The next prime is 42553163. The reversal of 42553160 is 6135524.

It is an interprime number because it is at equal distance from previous prime (42553157) and next prime (42553163).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (42553163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 582884 + ... + 582956.

It is an arithmetic number, because the mean of its divisors is an integer number (874125).

Almost surely, 2^42553160 is an apocalyptic number.

42553160 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 42553160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55944000).

42553160 is an abundant number, since it is smaller than the sum of its proper divisors (69334840).

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

42553160 is a wasteful number, since it uses less digits than its factorization.

42553160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The square root of 42553160 is about 6523.2783169201. The cubic root of 42553160 is about 349.1220444366.

Adding to 42553160 its reverse (6135524), we get a palindrome (48688684).

The spelling of 42553160 in words is "forty-two million, five hundred fifty-three thousand, one hundred sixty".