20849816196000 has 1152 divisors, whose sum is σ = 84385566720000. Its totient is φ = 4829310720000.

The previous prime is 20849816195987. The next prime is 20849816196061. The reversal of 20849816196000 is 69161894802.

20849816196000 is a `hidden beast` number, since 2 + 0 + 8 + 4 + 9 + 8 + 16 + 19 + 600 + 0 = 666.

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, 969793251 + ... + 969814749.

It is an arithmetic number, because the mean of its divisors is an integer number (73251360000).

Almost surely, 2^{20849816196000} is an apocalyptic number.

20849816196000 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 20849816196000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42192783360000).

20849816196000 is an abundant number, since it is smaller than the sum of its proper divisors (63535750524000).

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

20849816196000 is a wasteful number, since it uses less digits than its factorization.

20849816196000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21651 (or 21630 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 20849816196000 in words is "twenty trillion, eight hundred forty-nine billion, eight hundred sixteen million, one hundred ninety-six thousand".