42889161906 has 80 divisors (see below), whose sum is σ = 98869377816. Its totient is φ = 13886256384.

The previous prime is 42889161901. The next prime is 42889161911. The reversal of 42889161906 is 60916198824.

It is an interprime number because it is at equal distance from previous prime (42889161901) and next prime (42889161911).

It can be written as a sum of positive squares in 4 ways, for example, as 40118087025 + 2771074881 = 200295^2 + 52641^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (42889161901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3692500 + ... + 3704096.

Almost surely, 2^42889161906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42889161906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49434688908).

42889161906 is an abundant number, since it is smaller than the sum of its proper divisors (55980215910).

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

42889161906 is a wasteful number, since it uses less digits than its factorization.

42889161906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12265 (or 12256 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 42889161906 in words is "forty-two billion, eight hundred eighty-nine million, one hundred sixty-one thousand, nine hundred six".