20838543546960 has 960 divisors, whose sum is σ = 77263092940800. Its totient is φ = 5027243719680.

The previous prime is 20838543546959. The next prime is 20838543547007. The reversal of 20838543546960 is 6964534583802.

20838543546960 is a `hidden beast` number, since 2 + 0 + 8 + 3 + 85 + 4 + 3 + 546 + 9 + 6 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12094336659 + ... + 12094338381.

It is an arithmetic number, because the mean of its divisors is an integer number (80482388480).

Almost surely, 2^{20838543546960} is an apocalyptic number.

20838543546960 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 20838543546960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38631546470400).

20838543546960 is an abundant number, since it is smaller than the sum of its proper divisors (56424549393840).

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

20838543546960 is a wasteful number, since it uses less digits than its factorization.

20838543546960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1909 (or 1862 counting only the distinct ones).

The product of its (nonzero) digits is 149299200, while the sum is 63.

The spelling of 20838543546960 in words is "twenty trillion, eight hundred thirty-eight billion, five hundred forty-three million, five hundred forty-six thousand, nine hundred sixty".