20986077760512 has 528 divisors, whose sum is σ = 59710503501792. Its totient is φ = 6551859363840.

The previous prime is 20986077760507. The next prime is 20986077760541. The reversal of 20986077760512 is 21506777068902.

It is a super-3 number, since 3×20986077760512³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 47 ways as a sum of consecutive naturals, for example, 62273227608 + ... + 62273227944.

It is an arithmetic number, because the mean of its divisors is an integer number (113088074814).

Almost surely, 2^{20986077760512} 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 20986077760512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29855251750896).

20986077760512 is an abundant number, since it is smaller than the sum of its proper divisors (38724425741280).

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

20986077760512 is a wasteful number, since it uses less digits than its factorization.

20986077760512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872 (or 835 counting only the distinct ones).

The product of its (nonzero) digits is 17781120, while the sum is 60.

The spelling of 20986077760512 in words is "twenty trillion, nine hundred eighty-six billion, seventy-seven million, seven hundred sixty thousand, five hundred twelve".