20867246830080 has 960 divisors, whose sum is σ = 85622153760000. Its totient is φ = 4595442647040.

The previous prime is 20867246830049. The next prime is 20867246830091. The reversal of 20867246830080 is 8003864276802.

20867246830080 is a `hidden beast` number, since 2 + 0 + 8 + 6 + 72 + 468 + 30 + 0 + 80 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 20867246829999 and 20867246830026.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2333878410 + ... + 2333887350.

It is an arithmetic number, because the mean of its divisors is an integer number (89189743500).

Almost surely, 2^{20867246830080} is an apocalyptic number.

20867246830080 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 20867246830080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42811076880000).

20867246830080 is an abundant number, since it is smaller than the sum of its proper divisors (64754906929920).

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

20867246830080 is a wasteful number, since it uses less digits than its factorization.

20867246830080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9505 (or 9486 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 20867246830080 in words is "twenty trillion, eight hundred sixty-seven billion, two hundred forty-six million, eight hundred thirty thousand, eighty".