2086471151856 has 640 divisors, whose sum is σ = 7813899878400. Its totient is φ = 517291868160.

The previous prime is 2086471151827. The next prime is 2086471151887. The reversal of 2086471151856 is 6581511746802.

2086471151856 is a `hidden beast` number, since 2 + 0 + 8 + 6 + 4 + 71 + 1 + 518 + 56 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 854759596 + ... + 854762036.

It is an arithmetic number, because the mean of its divisors is an integer number (12209218560).

Almost surely, 2^{2086471151856} is an apocalyptic number.

2086471151856 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 2086471151856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3906949939200).

2086471151856 is an abundant number, since it is smaller than the sum of its proper divisors (5727428726544).

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

2086471151856 is a wasteful number, since it uses less digits than its factorization.

2086471151856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3774 (or 3762 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 54.

The spelling of 2086471151856 in words is "two trillion, eighty-six billion, four hundred seventy-one million, one hundred fifty-one thousand, eight hundred fifty-six".