20002842619584 has 448 divisors, whose sum is σ = 62159883190272. Its totient is φ = 5609757081600.

The previous prime is 20002842619583. The next prime is 20002842619603. The reversal of 20002842619584 is 48591624820002.

It is a super-2 number, since 2×20002842619584² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (20002842619583) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 515238894 + ... + 515277714.

It is an arithmetic number, because the mean of its divisors is an integer number (138749739264).

Almost surely, 2^{20002842619584} is an apocalyptic number.

20002842619584 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 20002842619584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31079941595136).

20002842619584 is an abundant number, since it is smaller than the sum of its proper divisors (42157040570688).

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

20002842619584 is a wasteful number, since it uses less digits than its factorization.

20002842619584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39104 (or 39094 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 51.

The spelling of 20002842619584 in words is "twenty trillion, two billion, eight hundred forty-two million, six hundred nineteen thousand, five hundred eighty-four".