20427048144 has 120 divisors (see below), whose sum is σ = 60211449792. Its totient is φ = 6451991040.

The previous prime is 20427048107. The next prime is 20427048149. The reversal of 20427048144 is 44184072402.

20427048144 is a `hidden beast` number, since 204 + 270 + 48 + 144 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 20427048099 and 20427048108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20427048149) 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 23 ways as a sum of consecutive naturals, for example, 325564 + ... + 383204.

Almost surely, 2^20427048144 is an apocalyptic number.

20427048144 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 20427048144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30105724896).

20427048144 is an abundant number, since it is smaller than the sum of its proper divisors (39784401648).

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

20427048144 is a wasteful number, since it uses less digits than its factorization.

20427048144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57785 (or 57776 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 36.

The spelling of 20427048144 in words is "twenty billion, four hundred twenty-seven million, forty-eight thousand, one hundred forty-four".