3005023205000 has 160 divisors (see below), whose sum is σ = 7128354915000. Its totient is φ = 1187116800000.

The previous prime is 3005023204973. The next prime is 3005023205017. The reversal of 3005023205000 is 5023205003.

It can be written as a sum of positive squares in 20 ways, for example, as 5885037796 + 2999138167204 = 76714^2 + 1731802^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 206537726 + ... + 206552274.

Almost surely, 2^{3005023205000} 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 3005023205000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3564177457500).

3005023205000 is an abundant number, since it is smaller than the sum of its proper divisors (4123331710000).

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

3005023205000 is a wasteful number, since it uses less digits than its factorization.

3005023205000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15085 (or 15066 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 20.

The spelling of 3005023205000 in words is "three trillion, five billion, twenty-three million, two hundred five thousand".