2864086580160 has 336 divisors, whose sum is σ = 10613569730400. Its totient is φ = 704705863680.

The previous prime is 2864086580153. The next prime is 2864086580227. The reversal of 2864086580160 is 610856804682.

2864086580160 is a `hidden beast` number, since 2 + 8 + 6 + 40 + 8 + 6 + 580 + 16 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2864086580097 and 2864086580106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 95419555 + ... + 95449565.

It is an arithmetic number, because the mean of its divisors is an integer number (31588005150).

Almost surely, 2^{2864086580160} is an apocalyptic number.

2864086580160 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 2864086580160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5306784865200).

2864086580160 is an abundant number, since it is smaller than the sum of its proper divisors (7749483150240).

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

2864086580160 is a wasteful number, since it uses less digits than its factorization.

2864086580160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32596 (or 32583 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 2864086580160 in words is "two trillion, eight hundred sixty-four billion, eighty-six million, five hundred eighty thousand, one hundred sixty".