20272032000 has 1008 divisors, whose sum is σ = 83644404480. Its totient is φ = 4852224000.

The previous prime is 20272031999. The next prime is 20272032019. The reversal of 20272032000 is 23027202.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 111 ways as a sum of consecutive naturals, for example, 256607961 + ... + 256608039.

It is an arithmetic number, because the mean of its divisors is an integer number (82980560).

Almost surely, 2^20272032000 is an apocalyptic number.

20272032000 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 20272032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41822202240).

20272032000 is an abundant number, since it is smaller than the sum of its proper divisors (63372372480).

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

20272032000 is an frugal number, since it uses more digits than its factorization.

20272032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

Adding to 20272032000 its reverse (23027202), we get a palindrome (20295059202).

The spelling of 20272032000 in words is "twenty billion, two hundred seventy-two million, thirty-two thousand".