20717241667920 has 1280 divisors, whose sum is σ = 85201403904000. Its totient is φ = 4527534735360.

The previous prime is 20717241667883. The next prime is 20717241667939. The reversal of 20717241667920 is 2976614271702.

20717241667920 is a `hidden beast` number, since 2 + 0 + 71 + 72 + 416 + 6 + 7 + 92 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 31726250314 + ... + 31726250966.

It is an arithmetic number, because the mean of its divisors is an integer number (66563596800).

Almost surely, 2^{20717241667920} is an apocalyptic number.

20717241667920 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 20717241667920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42600701952000).

20717241667920 is an abundant number, since it is smaller than the sum of its proper divisors (64484162236080).

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

20717241667920 is a wasteful number, since it uses less digits than its factorization.

20717241667920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1425 (or 1413 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

The spelling of 20717241667920 in words is "twenty trillion, seven hundred seventeen billion, two hundred forty-one million, six hundred sixty-seven thousand, nine hundred twenty".