205450172928 has 1600 divisors, whose sum is σ = 848458195200. Its totient is φ = 48771072000.

The previous prime is 205450172927. The next prime is 205450172959. The reversal of 205450172928 is 829271054502.

205450172928 is a `hidden beast` number, since 2 + 0 + 5 + 450 + 172 + 9 + 28 = 666.

It is a super-2 number, since 2×205450172928² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (205450172927) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2034160078 + ... + 2034160178.

It is an arithmetic number, because the mean of its divisors is an integer number (530286372).

Almost surely, 2^205450172928 is an apocalyptic number.

205450172928 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205450172928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424229097600).

205450172928 is an abundant number, since it is smaller than the sum of its proper divisors (643008022272).

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

205450172928 is a wasteful number, since it uses less digits than its factorization.

205450172928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 205450172928 in words is "two hundred five billion, four hundred fifty million, one hundred seventy-two thousand, nine hundred twenty-eight".