20006174160 has 240 divisors, whose sum is σ = 78420266496. Its totient is φ = 4475492352.

The previous prime is 20006174131. The next prime is 20006174161. The reversal of 20006174160 is 6147160002.

20006174160 is a `hidden beast` number, since 2 + 0 + 0 + 0 + 617 + 41 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20006174161) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 194652 + ... + 279108.

Almost surely, 2^20006174160 is an apocalyptic number.

20006174160 is a gapful number since it is divisible by the number (20) 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 20006174160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39210133248).

20006174160 is an abundant number, since it is smaller than the sum of its proper divisors (58414092336).

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

20006174160 is a wasteful number, since it uses less digits than its factorization.

20006174160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84530 (or 84521 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 20006174160 in words is "twenty billion, six million, one hundred seventy-four thousand, one hundred sixty".