20289642670080 has 960 divisors, whose sum is σ = 86727766245120. Its totient is φ = 4435967213568.

The previous prime is 20289642670067. The next prime is 20289642670139. The reversal of 20289642670080 is 8007624698202.

20289642670080 is a `hidden beast` number, since 20 + 289 + 6 + 4 + 267 + 0 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 = 20289642669999 and 20289642670026.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 133463872 + ... + 133615808.

It is an arithmetic number, because the mean of its divisors is an integer number (90341423172).

Almost surely, 2^{20289642670080} is an apocalyptic number.

20289642670080 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 20289642670080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43363883122560).

20289642670080 is an abundant number, since it is smaller than the sum of its proper divisors (66438123575040).

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

20289642670080 is a wasteful number, since it uses less digits than its factorization.

20289642670080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152006 (or 151977 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 20289642670080 in words is "twenty trillion, two hundred eighty-nine billion, six hundred forty-two million, six hundred seventy thousand, eighty".