20010024000 has 224 divisors, whose sum is σ = 73415347200. Its totient is φ = 5335948800.

The previous prime is 20010023959. The next prime is 20010024043. The reversal of 20010024000 is 42001002.

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

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 169681 + ... + 262319.

Almost surely, 2^20010024000 is an apocalyptic number.

20010024000 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 20010024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36707673600).

20010024000 is an abundant number, since it is smaller than the sum of its proper divisors (53405323200).

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

20010024000 is an equidigital number, since it uses as much as digits as its factorization.

20010024000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92675 (or 92649 counting only the distinct ones).

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

Adding to 20010024000 its reverse (42001002), we get a palindrome (20052025002).

It can be divided in two parts, 2001002 and 4000, that added together give a palindrome (2005002).

The spelling of 20010024000 in words is "twenty billion, ten million, twenty-four thousand".