2007588525904 has 120 divisors (see below), whose sum is σ = 4408380736200. Its totient is φ = 880337796096.

The previous prime is 2007588525823. The next prime is 2007588525967. The reversal of 2007588525904 is 4095258857002.

It can be written as a sum of positive squares in 4 ways, for example, as 1830128400 + 2005758397504 = 42780^2 + 1416248^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16333542 + ... + 16455994.

It is an arithmetic number, because the mean of its divisors is an integer number (36736506135).

Almost surely, 2^{2007588525904} 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 2007588525904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2204190368100).

2007588525904 is an abundant number, since it is smaller than the sum of its proper divisors (2400792210296).

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

2007588525904 is a wasteful number, since it uses less digits than its factorization.

2007588525904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122669 (or 122640 counting only the distinct ones).

The product of its (nonzero) digits is 8064000, while the sum is 55.

The spelling of 2007588525904 in words is "two trillion, seven billion, five hundred eighty-eight million, five hundred twenty-five thousand, nine hundred four".