2025209475584 has 160 divisors (see below), whose sum is σ = 4417590046320. Its totient is φ = 923636072448.

The previous prime is 2025209475559. The next prime is 2025209475593. The reversal of 2025209475584 is 4855749025202.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1873832454400 + 151377021184 = 1368880^2 + 389072^2 .

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, 82754102 + ... + 82778570.

Almost surely, 2^{2025209475584} 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 2025209475584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2208795023160).

2025209475584 is an abundant number, since it is smaller than the sum of its proper divisors (2392380570736).

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

2025209475584 is a wasteful number, since it uses less digits than its factorization.

2025209475584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24798 (or 24782 counting only the distinct ones).

The product of its (nonzero) digits is 8064000, while the sum is 53.

The spelling of 2025209475584 in words is "two trillion, twenty-five billion, two hundred nine million, four hundred seventy-five thousand, five hundred eighty-four".