20082404160 has 1344 divisors, whose sum is σ = 92751859200. Its totient is φ = 3869835264.

The previous prime is 20082404143. The next prime is 20082404233. The reversal of 20082404160 is 6140428002.

20082404160 is a `hidden beast` number, since 2 + 0 + 0 + 8 + 240 + 416 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a zygodrome in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 184242186 + ... + 184242294.

It is an arithmetic number, because the mean of its divisors is an integer number (69011800).

Almost surely, 2^20082404160 is an apocalyptic number.

20082404160 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 20082404160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46375929600).

20082404160 is an abundant number, since it is smaller than the sum of its proper divisors (72669455040).

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

20082404160 is a wasteful number, since it uses less digits than its factorization.

20082404160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 20082404160 in words is "twenty billion, eighty-two million, four hundred four thousand, one hundred sixty".