42886107360048 has 160 divisors (see below), whose sum is σ = 115099288174080. Its totient is φ = 13748255262720.

The previous prime is 42886107360043. The next prime is 42886107360053. The reversal of 42886107360048 is 84006370168824.

It is an interprime number because it is at equal distance from previous prime (42886107360043) and next prime (42886107360053).

It is a self number, because there is not a number n which added to its sum of digits gives 42886107360048.

It is not an unprimeable number, because it can be changed into a prime (42886107360043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 504339711 + ... + 504424737.

It is an arithmetic number, because the mean of its divisors is an integer number (719370551088).

Almost surely, 2^{42886107360048} is an apocalyptic number.

42886107360048 is a gapful number since it is divisible by the number (48) 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 42886107360048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57549644087040).

42886107360048 is an abundant number, since it is smaller than the sum of its proper divisors (72213180814032).

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

42886107360048 is a wasteful number, since it uses less digits than its factorization.

42886107360048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88355 (or 88349 counting only the distinct ones).

The product of its (nonzero) digits is 12386304, while the sum is 57.

The spelling of 42886107360048 in words is "forty-two trillion, eight hundred eighty-six billion, one hundred seven million, three hundred sixty thousand, forty-eight".