20794213085184 has 2340 divisors, whose sum is σ = 82127287112904. Its totient is φ = 5226865459200.

The previous prime is 20794213085147. The next prime is 20794213085249. The reversal of 20794213085184 is 48158031249702.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

20794213085184 is a `hidden beast` number, since 2 + 0 + 7 + 9 + 421 + 30 + 8 + 5 + 184 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 20794213085184.

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 179 ways as a sum of consecutive naturals, for example, 670781067249 + ... + 670781067279.

Almost surely, 2^{20794213085184} is an apocalyptic number.

20794213085184 is a gapful number since it is divisible by the number (24) 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 20794213085184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41063643556452).

20794213085184 is an abundant number, since it is smaller than the sum of its proper divisors (61333074027720).

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

20794213085184 is an frugal number, since it uses more digits than its factorization.

20794213085184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 20794213085184 in words is "twenty trillion, seven hundred ninety-four billion, two hundred thirteen million, eighty-five thousand, one hundred eighty-four".