20882894643072 has 480 divisors, whose sum is σ = 78865799874840. Its totient is φ = 5424127027200.

The previous prime is 20882894643031. The next prime is 20882894643089. The reversal of 20882894643072 is 27034649828802.

20882894643072 is a `hidden beast` number, since 2 + 0 + 8 + 8 + 289 + 46 + 4 + 307 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3719922 + ... + 7456782.

Almost surely, 2^{20882894643072} is an apocalyptic number.

20882894643072 is a gapful number since it is divisible by the number (22) 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 20882894643072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39432899937420).

20882894643072 is an abundant number, since it is smaller than the sum of its proper divisors (57982905231768).

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

20882894643072 is a wasteful number, since it uses less digits than its factorization.

20882894643072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3736912 (or 3736884 counting only the distinct ones).

The product of its (nonzero) digits is 74317824, while the sum is 63.

The spelling of 20882894643072 in words is "twenty trillion, eight hundred eighty-two billion, eight hundred ninety-four million, six hundred forty-three thousand, seventy-two".