20531322144 has 144 divisors (see below), whose sum is σ = 63258747552. Its totient is φ = 6291339264.

The previous prime is 20531322037. The next prime is 20531322151. The reversal of 20531322144 is 44122313502.

20531322144 is a `hidden beast` number, since 205 + 313 + 2 + 2 + 144 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 161767 + ... + 259289.

It is an arithmetic number, because the mean of its divisors is an integer number (439296858).

Almost surely, 2^20531322144 is an apocalyptic number.

20531322144 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 20531322144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31629373776).

20531322144 is an abundant number, since it is smaller than the sum of its proper divisors (42727425408).

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

20531322144 is a wasteful number, since it uses less digits than its factorization.

20531322144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97599 (or 97588 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 20531322144 its reverse (44122313502), we get a palindrome (64653635646).

The spelling of 20531322144 in words is "twenty billion, five hundred thirty-one million, three hundred twenty-two thousand, one hundred forty-four".