20020046584320 has 240 divisors, whose sum is σ = 69486806343240. Its totient is φ = 5326994276352.

The previous prime is 20020046584303. The next prime is 20020046584333. The reversal of 20020046584320 is 2348564002002.

20020046584320 is a `hidden beast` number, since 2 + 0 + 0 + 2 + 0 + 0 + 46 + 584 + 32 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 17142382192896 + 2877664391424 = 4140336^2 + 1696368^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 9578596 + ... + 11479964.

Almost surely, 2^{20020046584320} is an apocalyptic number.

20020046584320 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 20020046584320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34743403171620).

20020046584320 is an abundant number, since it is smaller than the sum of its proper divisors (49466759758920).

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

20020046584320 is a wasteful number, since it uses less digits than its factorization.

20020046584320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1901855 (or 1901836 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 20020046584320 in words is "twenty trillion, twenty billion, forty-six million, five hundred eighty-four thousand, three hundred twenty".