205128386564656 has 40 divisors (see below), whose sum is σ = 424246255430400. Its totient is φ = 95797541528640.

The previous prime is 205128386564603. The next prime is 205128386564729. The reversal of 205128386564656 is 656465683821502.

It is a hoax number, since the sum of its digits (67) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 205128386564591 and 205128386564600.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4751840596 + ... + 4751883763.

It is an arithmetic number, because the mean of its divisors is an integer number (10606156385760).

Almost surely, 2^{205128386564656} is an apocalyptic number.

It is an amenable number.

205128386564656 is an abundant number, since it is smaller than the sum of its proper divisors (219117868865744).

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

205128386564656 is a wasteful number, since it uses less digits than its factorization.

205128386564656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9503724457 (or 9503724451 counting only the distinct ones).

The product of its (nonzero) digits is 497664000, while the sum is 67.

The spelling of 205128386564656 in words is "two hundred five trillion, one hundred twenty-eight billion, three hundred eighty-six million, five hundred sixty-four thousand, six hundred fifty-six".