20085389853984 has 288 divisors, whose sum is σ = 72198837285120. Its totient is φ = 5154076624896.

The previous prime is 20085389853967. The next prime is 20085389854003. The reversal of 20085389853984 is 48935898358002.

20085389853984 is a `hidden beast` number, since 2 + 0 + 0 + 8 + 5 + 3 + 8 + 9 + 8 + 539 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9386844 + ... + 11326235.

It is an arithmetic number, because the mean of its divisors is an integer number (250690407240).

Almost surely, 2^{20085389853984} is an apocalyptic number.

20085389853984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20085389853984 is an abundant number, since it is smaller than the sum of its proper divisors (52113447431136).

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

20085389853984 is a wasteful number, since it uses less digits than its factorization.

20085389853984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20713152 (or 20713141 counting only the distinct ones).

The product of its (nonzero) digits is 597196800, while the sum is 72.

The spelling of 20085389853984 in words is "twenty trillion, eighty-five billion, three hundred eighty-nine million, eight hundred fifty-three thousand, nine hundred eighty-four".