20581077583872 has 768 divisors, whose sum is σ = 67918346496000. Its totient is φ = 6115295232000.

The previous prime is 20581077583817. The next prime is 20581077583883. The reversal of 20581077583872 is 27838577018502.

It is a tau number, because it is divible by the number of its divisors (768).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17136616872 + ... + 17136618072.

It is an arithmetic number, because the mean of its divisors is an integer number (88435347000).

Almost surely, 2^{20581077583872} 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 20581077583872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33959173248000).

20581077583872 is an abundant number, since it is smaller than the sum of its proper divisors (47337268912128).

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

20581077583872 is a wasteful number, since it uses less digits than its factorization.

20581077583872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2045 (or 2019 counting only the distinct ones).

The product of its (nonzero) digits is 52684800, while the sum is 63.

The spelling of 20581077583872 in words is "twenty trillion, five hundred eighty-one billion, seventy-seven million, five hundred eighty-three thousand, eight hundred seventy-two".