20085698347416 has 320 divisors, whose sum is σ = 61805271528000. Its totient is φ = 6057092431872.

The previous prime is 20085698347391. The next prime is 20085698347459. The reversal of 20085698347416 is 61474389658002.

20085698347416 is a `hidden beast` number, since 2 + 0 + 0 + 85 + 6 + 9 + 83 + 474 + 1 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 84044860 + ... + 84283508.

It is an arithmetic number, because the mean of its divisors is an integer number (193141473525).

It is a 1-persistent number, because it is pandigital, but 2⋅20085698347416 = 40171396694832 is not.

Almost surely, 2^{20085698347416} is an apocalyptic number.

20085698347416 is a gapful number since it is divisible by the number (26) 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 20085698347416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30902635764000).

20085698347416 is an abundant number, since it is smaller than the sum of its proper divisors (41719573180584).

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

20085698347416 is a wasteful number, since it uses less digits than its factorization.

20085698347416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238880 (or 238867 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 20085698347416 in words is "twenty trillion, eighty-five billion, six hundred ninety-eight million, three hundred forty-seven thousand, four hundred sixteen".