20283024000 has 128 divisors (see below), whose sum is σ = 67238383680. Its totient is φ = 5408793600.

The previous prime is 20283023993. The next prime is 20283024017. The reversal of 20283024000 is 42038202.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×20283024000³ (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 163282 + ... + 259281.

Almost surely, 2^20283024000 is an apocalyptic number.

20283024000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20283024000 is an abundant number, since it is smaller than the sum of its proper divisors (46955359680).

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

20283024000 is an equidigital number, since it uses as much as digits as its factorization.

20283024000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422595 (or 422573 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

It can be divided in two parts, 2028302 and 4000, that added together give a palindrome (2032302).

The spelling of 20283024000 in words is "twenty billion, two hundred eighty-three million, twenty-four thousand".