8206985090304 has 1440 divisors, whose sum is σ = 33001015111680. Its totient is φ = 1959104102400.

The previous prime is 8206985090237. The next prime is 8206985090321. The reversal of 8206985090304 is 4030905896028.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 5625074727 + ... + 5625076185.

Almost surely, 2^{8206985090304} is an apocalyptic number.

8206985090304 is a gapful number since it is divisible by the number (84) 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 8206985090304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16500507555840).

8206985090304 is an abundant number, since it is smaller than the sum of its proper divisors (24794030021376).

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

8206985090304 is a wasteful number, since it uses less digits than its factorization.

8206985090304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1789 (or 1766 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 8206985090304 in words is "eight trillion, two hundred six billion, nine hundred eighty-five million, ninety thousand, three hundred four".