20577350107776 has 512 divisors, whose sum is σ = 68697538560000. Its totient is φ = 5301561323520.

The previous prime is 20577350107771. The next prime is 20577350107799. The reversal of 20577350107776 is 67770105377502.

It is not an unprimeable number, because it can be changed into a prime (20577350107771) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 8577468625 + ... + 8577471023.

It is an arithmetic number, because the mean of its divisors is an integer number (134174880000).

Almost surely, 2^{20577350107776} 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 20577350107776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34348769280000).

20577350107776 is an abundant number, since it is smaller than the sum of its proper divisors (48120188452224).

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

20577350107776 is a wasteful number, since it uses less digits than its factorization.

20577350107776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4660 (or 4648 counting only the distinct ones).

The product of its (nonzero) digits is 15126300, while the sum is 57.

The spelling of 20577350107776 in words is "twenty trillion, five hundred seventy-seven billion, three hundred fifty million, one hundred seven thousand, seven hundred seventy-six".