20883284866080 has 1920 divisors, whose sum is σ = 92227724886528. Its totient is φ = 4332877774848.

The previous prime is 20883284866063. The next prime is 20883284866123. The reversal of 20883284866080 is 8066848238802.

20883284866080 is a `hidden beast` number, since 20 + 88 + 328 + 4 + 86 + 60 + 80 = 666.

It is a super-2 number, since 2×20883284866080² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 20883284865999 and 20883284866017.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 31030140624 + ... + 31030141296.

Almost surely, 2^{20883284866080} is an apocalyptic number.

20883284866080 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 20883284866080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46113862443264).

20883284866080 is an abundant number, since it is smaller than the sum of its proper divisors (71344440020448).

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

20883284866080 is a wasteful number, since it uses less digits than its factorization.

20883284866080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1120 (or 1103 counting only the distinct ones).

The product of its (nonzero) digits is 56623104, while the sum is 63.

The spelling of 20883284866080 in words is "twenty trillion, eight hundred eighty-three billion, two hundred eighty-four million, eight hundred sixty-six thousand, eighty".