205570125186432 has 128 divisors (see below), whose sum is σ = 565648822216800. Its totient is φ = 66100925890560.

The previous prime is 205570125186427. The next prime is 205570125186451. The reversal of 205570125186432 is 234681521075502.

It is a happy number.

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

It is a congruent 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, 71952973 + ... + 74755404.

Almost surely, 2^{205570125186432} is an apocalyptic number.

It is an amenable number.

205570125186432 is an abundant number, since it is smaller than the sum of its proper divisors (360078697030368).

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

205570125186432 is a wasteful number, since it uses less digits than its factorization.

205570125186432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146708524 (or 146708512 counting only the distinct ones).

The product of its (nonzero) digits is 4032000, while the sum is 51.

The spelling of 205570125186432 in words is "two hundred five trillion, five hundred seventy billion, one hundred twenty-five million, one hundred eighty-six thousand, four hundred thirty-two".