20011024000 has 256 divisors, whose sum is σ = 55117895040. Its totient is φ = 7163904000.

The previous prime is 20011023973. The next prime is 20011024027. The reversal of 20011024000 is 42011002.

It is an interprime number because it is at equal distance from previous prime (20011023973) and next prime (20011024027).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11791152 + ... + 11792848.

Almost surely, 2^20011024000 is an apocalyptic number.

20011024000 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 20011024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27558947520).

20011024000 is an abundant number, since it is smaller than the sum of its proper divisors (35106871040).

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

20011024000 is a wasteful number, since it uses less digits than its factorization.

20011024000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1804 (or 1782 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 20011024000 its reverse (42011002), we get a palindrome (20053035002).

The spelling of 20011024000 in words is "twenty billion, eleven million, twenty-four thousand".