20240085786912 has 288 divisors, whose sum is σ = 58935962449728. Its totient is φ = 6587398422528.

The previous prime is 20240085786887. The next prime is 20240085786959. The reversal of 20240085786912 is 21968758004202.

20240085786912 is a `hidden beast` number, since 2 + 0 + 2 + 4 + 0 + 0 + 8 + 578 + 69 + 1 + 2 = 666.

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

It is a super-2 number, since 2×20240085786912² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 953496043 + ... + 953517269.

It is an arithmetic number, because the mean of its divisors is an integer number (204638758506).

Almost surely, 2^{20240085786912} 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 20240085786912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29467981224864).

20240085786912 is an abundant number, since it is smaller than the sum of its proper divisors (38695876662816).

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

20240085786912 is a wasteful number, since it uses less digits than its factorization.

20240085786912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21792 (or 21781 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 20240085786912 in words is "twenty trillion, two hundred forty billion, eighty-five million, seven hundred eighty-six thousand, nine hundred twelve".