42852053807160 has 512 divisors, whose sum is σ = 152281866240000. Its totient is φ = 9546243932160.

The previous prime is 42852053807149. The next prime is 42852053807161. The reversal of 42852053807160 is 6170835025824.

42852053807160 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 (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42852053807161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 128906841 + ... + 129238839.

It is an arithmetic number, because the mean of its divisors is an integer number (297425520000).

Almost surely, 2^{42852053807160} is an apocalyptic number.

42852053807160 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 42852053807160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76140933120000).

42852053807160 is an abundant number, since it is smaller than the sum of its proper divisors (109429812432840).

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

42852053807160 is a wasteful number, since it uses less digits than its factorization.

42852053807160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332231 (or 332227 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 51.

The spelling of 42852053807160 in words is "forty-two trillion, eight hundred fifty-two billion, fifty-three million, eight hundred seven thousand, one hundred sixty".