20418240864 has 288 divisors, whose sum is σ = 68465005056. Its totient is φ = 5200588800.

The previous prime is 20418240853. The next prime is 20418240889. The reversal of 20418240864 is 46804281402.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 4121589 + ... + 4126539.

It is an arithmetic number, because the mean of its divisors is an integer number (237725712).

Almost surely, 2^20418240864 is an apocalyptic number.

20418240864 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 20418240864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34232502528).

20418240864 is an abundant number, since it is smaller than the sum of its proper divisors (48046764192).

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

20418240864 is a wasteful number, since it uses less digits than its factorization.

20418240864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5026 (or 4999 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 39.

The spelling of 20418240864 in words is "twenty billion, four hundred eighteen million, two hundred forty thousand, eight hundred sixty-four".