2005512325760 has 128 divisors (see below), whose sum is σ = 5251504006800. Its totient is φ = 728981241856.

The previous prime is 2005512325717. The next prime is 2005512325793. The reversal of 2005512325760 is 675232155002.

It can be written as a sum of positive squares in 8 ways, for example, as 1666350520384 + 339161805376 = 1290872^2 + 582376^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×2005512325760³ (a number of 38 digits) contains 333 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2862587 + ... + 3493626.

Almost surely, 2^{2005512325760} is an apocalyptic number.

2005512325760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2005512325760 is an abundant number, since it is smaller than the sum of its proper divisors (3245991681040).

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

2005512325760 is a wasteful number, since it uses less digits than its factorization.

2005512325760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6356278 (or 6356266 counting only the distinct ones).

The product of its (nonzero) digits is 126000, while the sum is 38.

The spelling of 2005512325760 in words is "two trillion, five billion, five hundred twelve million, three hundred twenty-five thousand, seven hundred sixty".