205035130161504 has 144 divisors (see below), whose sum is σ = 587556941955984. Its totient is φ = 67820947660800.

The previous prime is 205035130161497. The next prime is 205035130161523. The reversal of 205035130161504 is 405161031530502.

205035130161504 is a `hidden beast` number, since 2 + 0 + 5 + 0 + 3 + 5 + 1 + 30 + 1 + 615 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 14423284 + ... + 24861644.

It is an arithmetic number, because the mean of its divisors is an integer number (4080256541361).

Almost surely, 2^{205035130161504} is an apocalyptic number.

205035130161504 is a gapful number since it is divisible by the number (24) 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 205035130161504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293778470977992).

205035130161504 is an abundant number, since it is smaller than the sum of its proper divisors (382521811794480).

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

205035130161504 is a wasteful number, since it uses less digits than its factorization.

205035130161504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10438901 (or 10438890 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 205035130161504 in words is "two hundred five trillion, thirty-five billion, one hundred thirty million, one hundred sixty-one thousand, five hundred four".