20468583894528 has 1440 divisors, whose sum is σ = 76062641054400. Its totient is φ = 5185260748800.

The previous prime is 20468583894419. The next prime is 20468583894559. The reversal of 20468583894528 is 82549838586402.

20468583894528 is a `hidden beast` number, since 2 + 0 + 4 + 6 + 8 + 5 + 8 + 3 + 8 + 94 + 528 = 666.

It is a super-3 number, since 3×20468583894528³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 35474148576 + ... + 35474149152.

It is an arithmetic number, because the mean of its divisors is an integer number (52821278510).

Almost surely, 2^{20468583894528} is an apocalyptic number.

20468583894528 is a gapful number since it is divisible by the number (28) 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 20468583894528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38031320527200).

20468583894528 is an abundant number, since it is smaller than the sum of its proper divisors (55594057159872).

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

20468583894528 is a wasteful number, since it uses less digits than its factorization.

20468583894528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 1061683200, while the sum is 72.

The spelling of 20468583894528 in words is "twenty trillion, four hundred sixty-eight billion, five hundred eighty-three million, eight hundred ninety-four thousand, five hundred twenty-eight".