20711874346560 has 896 divisors, whose sum is σ = 75162802176000. Its totient is φ = 5367646642176.

The previous prime is 20711874346507. The next prime is 20711874346567. The reversal of 20711874346560 is 6564347811702.

20711874346560 is a `hidden beast` number, since 2 + 0 + 7 + 1 + 1 + 8 + 74 + 3 + 4 + 6 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 20711874346497 and 20711874346506.

It is not an unprimeable number, because it can be changed into a prime (20711874346567) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12424638847 + ... + 12424640513.

It is an arithmetic number, because the mean of its divisors is an integer number (83887056000).

Almost surely, 2^{20711874346560} is an apocalyptic number.

20711874346560 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 20711874346560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37581401088000).

20711874346560 is an abundant number, since it is smaller than the sum of its proper divisors (54450927829440).

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

20711874346560 is a wasteful number, since it uses less digits than its factorization.

20711874346560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2048 (or 2032 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 20711874346560 in words is "twenty trillion, seven hundred eleven billion, eight hundred seventy-four million, three hundred forty-six thousand, five hundred sixty".