20906271790560 has 864 divisors, whose sum is σ = 84854650083840. Its totient is φ = 4663315058688.

The previous prime is 20906271790517. The next prime is 20906271790597. The reversal of 20906271790560 is 6509717260902.

20906271790560 is a `hidden beast` number, since 2 + 0 + 9 + 0 + 6 + 2 + 7 + 1 + 79 + 0 + 560 = 666.

It is a super-2 number, since 2×20906271790560² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20906271790497 and 20906271790506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 106250029 + ... + 106446611.

It is an arithmetic number, because the mean of its divisors is an integer number (98211400560).

Almost surely, 2^{20906271790560} is an apocalyptic number.

20906271790560 is a gapful number since it is divisible by the number (20) 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 20906271790560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42427325041920).

20906271790560 is an abundant number, since it is smaller than the sum of its proper divisors (63948378293280).

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

20906271790560 is a wasteful number, since it uses less digits than its factorization.

20906271790560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196672 (or 196648 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The spelling of 20906271790560 in words is "twenty trillion, nine hundred six billion, two hundred seventy-one million, seven hundred ninety thousand, five hundred sixty".