20871310806720 has 896 divisors, whose sum is σ = 81584260300800. Its totient is φ = 4980646195200.

The previous prime is 20871310806691. The next prime is 20871310806767. The reversal of 20871310806720 is 2760801317802.

20871310806720 is a `hidden beast` number, since 208 + 71 + 310 + 8 + 0 + 67 + 2 + 0 = 666.

It is a super-2 number, since 2×20871310806720² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2605327515 + ... + 2605335525.

Almost surely, 2^{20871310806720} is an apocalyptic number.

20871310806720 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 20871310806720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40792130150400).

20871310806720 is an abundant number, since it is smaller than the sum of its proper divisors (60712949494080).

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

20871310806720 is a wasteful number, since it uses less digits than its factorization.

20871310806720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8474 (or 8458 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 20871310806720 in words is "twenty trillion, eight hundred seventy-one billion, three hundred ten million, eight hundred six thousand, seven hundred twenty".