20438593056 has 288 divisors, whose sum is σ = 72997848000. Its totient is φ = 5532033024.

The previous prime is 20438593027. The next prime is 20438593061. The reversal of 20438593056 is 65039583402.

20438593056 is a `hidden beast` number, since 2 + 0 + 4 + 3 + 8 + 593 + 0 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×20438593056² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 791680 + ... + 817088.

It is an arithmetic number, because the mean of its divisors is an integer number (253464750).

Almost surely, 2^20438593056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20438593056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36498924000).

20438593056 is an abundant number, since it is smaller than the sum of its proper divisors (52559254944).

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

20438593056 is a wasteful number, since it uses less digits than its factorization.

20438593056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25461 (or 25440 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 20438593056 in words is "twenty billion, four hundred thirty-eight million, five hundred ninety-three thousand, fifty-six".