20320153344 has 144 divisors (see below), whose sum is σ = 62703379200. Its totient is φ = 6478838784.

The previous prime is 20320153333. The next prime is 20320153351. The reversal of 20320153344 is 44335102302.

20320153344 is a `hidden beast` number, since 2 + 0 + 320 + 1 + 5 + 334 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95067 + ... + 222885.

Almost surely, 2^20320153344 is an apocalyptic number.

20320153344 is a gapful number since it is divisible by the number (24) 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 20320153344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31351689600).

20320153344 is an abundant number, since it is smaller than the sum of its proper divisors (42383225856).

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

20320153344 is a wasteful number, since it uses less digits than its factorization.

20320153344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127867 (or 127847 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 20320153344 its reverse (44335102302), we get a palindrome (64655255646).

The spelling of 20320153344 in words is "twenty billion, three hundred twenty million, one hundred fifty-three thousand, three hundred forty-four".