20153344000 has 112 divisors (see below), whose sum is σ = 50302232136. Its totient is φ = 8060928000.

The previous prime is 20153343989. The next prime is 20153344007. The reversal of 20153344000 is 44335102.

It can be written as a sum of positive squares in 4 ways, for example, as 12386799616 + 7766544384 = 111296^2 + 88128^2 .

It is not an unprimeable number, because it can be changed into a prime (20153344007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1014160 + ... + 1033840.

Almost surely, 2^20153344000 is an apocalyptic number.

20153344000 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 20153344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25151116068).

20153344000 is an abundant number, since it is smaller than the sum of its proper divisors (30148888136).

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

20153344000 is an frugal number, since it uses more digits than its factorization.

20153344000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19722 (or 19688 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

Adding to 20153344000 its reverse (44335102), we get a palindrome (20197679102).

The spelling of 20153344000 in words is "twenty billion, one hundred fifty-three million, three hundred forty-four thousand".