20085138432 has 220 divisors, whose sum is σ = 60586221696. Its totient is φ = 6627225600.

The previous prime is 20085138379. The next prime is 20085138439. The reversal of 20085138432 is 23483158002.

20085138432 is a `hidden beast` number, since 200 + 8 + 5 + 13 + 8 + 432 = 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 (20085138439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8542057 + ... + 8544407.

Almost surely, 2^20085138432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20085138432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30293110848).

20085138432 is an abundant number, since it is smaller than the sum of its proper divisors (40501083264).

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

20085138432 is a wasteful number, since it uses less digits than its factorization.

20085138432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2486 (or 2459 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 20085138432 in words is "twenty billion, eighty-five million, one hundred thirty-eight thousand, four hundred thirty-two".