20201004000 has 288 divisors, whose sum is σ = 72876585600. Its totient is φ = 5298048000.

The previous prime is 20201003909. The next prime is 20201004073. The reversal of 20201004000 is 40010202.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2191401 + ... + 2200599.

It is an arithmetic number, because the mean of its divisors is an integer number (253043700).

Almost surely, 2^20201004000 is an apocalyptic number.

20201004000 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 20201004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36438292800).

20201004000 is an abundant number, since it is smaller than the sum of its proper divisors (52675581600).

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

20201004000 is a wasteful number, since it uses less digits than its factorization.

20201004000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9291 (or 9270 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 20201004000 its reverse (40010202), we get a palindrome (20241014202).

The spelling of 20201004000 in words is "twenty billion, two hundred one million, four thousand".