20005382592 has 560 divisors, whose sum is σ = 67102402752. Its totient is φ = 5852528640.

The previous prime is 20005382569. The next prime is 20005382599. The reversal of 20005382592 is 29528350002.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20005382599) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 177038728 + ... + 177038840.

Almost surely, 2^20005382592 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 20005382592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33551201376).

20005382592 is an abundant number, since it is smaller than the sum of its proper divisors (47097020160).

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

20005382592 is a wasteful number, since it uses less digits than its factorization.

20005382592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 20005382592 in words is "twenty billion, five million, three hundred eighty-two thousand, five hundred ninety-two".