20082593160 has 288 divisors, whose sum is σ = 76890902400. Its totient is φ = 4531887360.

The previous prime is 20082593147. The next prime is 20082593161. The reversal of 20082593160 is 6139528002.

20082593160 is a `hidden beast` number, since 2 + 0 + 0 + 8 + 2 + 593 + 1 + 60 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (20082593161) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1386355 + ... + 1400765.

It is an arithmetic number, because the mean of its divisors is an integer number (266982300).

Almost surely, 2^20082593160 is an apocalyptic number.

20082593160 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 20082593160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38445451200).

20082593160 is an abundant number, since it is smaller than the sum of its proper divisors (56808309240).

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

20082593160 is a wasteful number, since it uses less digits than its factorization.

20082593160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14521 (or 14507 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 20082593160 in words is "twenty billion, eighty-two million, five hundred ninety-three thousand, one hundred sixty".