20601006806016 has 1056 divisors, whose sum is σ = 74660966085888. Its totient is φ = 5326818508800.

The previous prime is 20601006805987. The next prime is 20601006806063. The reversal of 20601006806016 is 61060860010602.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9063354256 + ... + 9063356528.

Almost surely, 2^{20601006806016} is an apocalyptic number.

20601006806016 is a gapful number since it is divisible by the number (26) 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 20601006806016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37330483042944).

20601006806016 is an abundant number, since it is smaller than the sum of its proper divisors (54059959279872).

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

20601006806016 is a wasteful number, since it uses less digits than its factorization.

20601006806016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2527 (or 2506 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

Adding to 20601006806016 its reverse (61060860010602), we get a palindrome (81661866816618).

The spelling of 20601006806016 in words is "twenty trillion, six hundred one billion, six million, eight hundred six thousand, sixteen".