42817025160 has 1152 divisors, whose sum is σ = 190018483200. Its totient is φ = 8256245760.

The previous prime is 42817025137. The next prime is 42817025177. The reversal of 42817025160 is 6152071824.

42817025160 is a `hidden beast` number, since 4 + 281 + 70 + 251 + 60 = 666.

42817025160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 135069322 + ... + 135069638.

It is an arithmetic number, because the mean of its divisors is an integer number (164946600).

Almost surely, 2^42817025160 is an apocalyptic number.

42817025160 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 42817025160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95009241600).

42817025160 is an abundant number, since it is smaller than the sum of its proper divisors (147201458040).

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

42817025160 is a wasteful number, since it uses less digits than its factorization.

42817025160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

Adding to 42817025160 its reverse (6152071824), we get a palindrome (48969096984).

The spelling of 42817025160 in words is "forty-two billion, eight hundred seventeen million, twenty-five thousand, one hundred sixty".