20881920346560 has 4480 divisors, whose sum is σ = 101498982875136. Its totient is φ = 3950098513920.

The previous prime is 20881920346519. The next prime is 20881920346579. The reversal of 20881920346560 is 6564302918802.

20881920346560 is a `hidden beast` number, since 2 + 0 + 8 + 8 + 19 + 20 + 3 + 46 + 560 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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 = 20881920346497 and 20881920346506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 133005862002 + ... + 133005862158.

Almost surely, 2^{20881920346560} is an apocalyptic number.

20881920346560 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 20881920346560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50749491437568).

20881920346560 is an abundant number, since it is smaller than the sum of its proper divisors (80617062528576).

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

20881920346560 is a wasteful number, since it uses less digits than its factorization.

20881920346560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 20881920346560 in words is "twenty trillion, eight hundred eighty-one billion, nine hundred twenty million, three hundred forty-six thousand, five hundred sixty".