20846942386200 has 1728 divisors, whose sum is σ = 90411562575360. Its totient is φ = 4269231267840.

The previous prime is 20846942386199. The next prime is 20846942386289. The reversal of 20846942386200 is 268324964802.

20846942386200 is a `hidden beast` number, since 2 + 0 + 8 + 4 + 6 + 9 + 4 + 2 + 3 + 8 + 620 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 7828366069 + ... + 7828368731.

It is an arithmetic number, because the mean of its divisors is an integer number (52321506120).

Almost surely, 2^{20846942386200} is an apocalyptic number.

20846942386200 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 20846942386200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45205781287680).

20846942386200 is an abundant number, since it is smaller than the sum of its proper divisors (69564620189160).

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

20846942386200 is a wasteful number, since it uses less digits than its factorization.

20846942386200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2966 (or 2947 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 20846942386200 in words is "twenty trillion, eight hundred forty-six billion, nine hundred forty-two million, three hundred eighty-six thousand, two hundred".