3005687162128 has 80 divisors (see below), whose sum is σ = 7054949954304. Its totient is φ = 1211001200640.

The previous prime is 3005687162047. The next prime is 3005687162131. The reversal of 3005687162128 is 8212617865003.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 781501 + ... + 2573347.

Almost surely, 2^{3005687162128} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3005687162128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3527474977152).

3005687162128 is an abundant number, since it is smaller than the sum of its proper divisors (4049262792176).

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

3005687162128 is a wasteful number, since it uses less digits than its factorization.

3005687162128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1792760 (or 1792754 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 49.

The spelling of 3005687162128 in words is "three trillion, five billion, six hundred eighty-seven million, one hundred sixty-two thousand, one hundred twenty-eight".