20510442144 has 36 divisors (see below), whose sum is σ = 58326570666. Its totient is φ = 6836813952.

The previous prime is 20510442143. The next prime is 20510442289. The reversal of 20510442144 is 44124401502.

20510442144 is a `hidden beast` number, since 2 + 0 + 510 + 4 + 4 + 2 + 144 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11859210000 + 8651232144 = 108900^2 + 93012^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (20510442143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 35608119 + ... + 35608694.

Almost surely, 2^20510442144 is an apocalyptic number.

20510442144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20510442144 is an abundant number, since it is smaller than the sum of its proper divisors (37816128522).

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

20510442144 is a wasteful number, since it uses less digits than its factorization.

20510442144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71216829 (or 71216818 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 20510442144 its reverse (44124401502), we get a palindrome (64634843646).

The spelling of 20510442144 in words is "twenty billion, five hundred ten million, four hundred forty-two thousand, one hundred forty-four".