20084513099728 has 480 divisors, whose sum is σ = 51395890452480. Its totient is φ = 7432774272000.

The previous prime is 20084513099671. The next prime is 20084513099741. The reversal of 20084513099728 is 82799031548002.

It is a Smith number, since the sum of its digits (58) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6349828675 + ... + 6349831837.

It is an arithmetic number, because the mean of its divisors is an integer number (107074771776).

Almost surely, 2^{20084513099728} is an apocalyptic number.

20084513099728 is a gapful number since it is divisible by the number (28) 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 20084513099728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25697945226240).

20084513099728 is an abundant number, since it is smaller than the sum of its proper divisors (31311377352752).

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

20084513099728 is a wasteful number, since it uses less digits than its factorization.

20084513099728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3487 (or 3470 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 58.

The spelling of 20084513099728 in words is "twenty trillion, eighty-four billion, five hundred thirteen million, ninety-nine thousand, seven hundred twenty-eight".