5871834066000 has 640 divisors, whose sum is σ = 22639488408576. Its totient is φ = 1281202790400.

The previous prime is 5871834065989. The next prime is 5871834066013. The reversal of 5871834066000 is 6604381785.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 82326354 + ... + 82397646.

Almost surely, 2^{5871834066000} is an apocalyptic number.

5871834066000 is a gapful number since it is divisible by the number (50) 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 5871834066000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11319744204288).

5871834066000 is an abundant number, since it is smaller than the sum of its proper divisors (16767654342576).

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

5871834066000 is a wasteful number, since it uses less digits than its factorization.

5871834066000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71416 (or 71400 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The spelling of 5871834066000 in words is "five trillion, eight hundred seventy-one billion, eight hundred thirty-four million, sixty-six thousand".