3871211255856 has 480 divisors, whose sum is σ = 13406506214400. Its totient is φ = 1038750676992.

The previous prime is 3871211255837. The next prime is 3871211255861. The reversal of 3871211255856 is 6585521121783.

3871211255856 is a `hidden beast` number, since 3 + 8 + 7 + 1 + 21 + 12 + 558 + 56 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 408911635 + ... + 408921101.

It is an arithmetic number, because the mean of its divisors is an integer number (27930221280).

Almost surely, 2^{3871211255856} is an apocalyptic number.

3871211255856 is a gapful number since it is divisible by the number (36) 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 3871211255856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6703253107200).

3871211255856 is an abundant number, since it is smaller than the sum of its proper divisors (9535294958544).

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

3871211255856 is a wasteful number, since it uses less digits than its factorization.

3871211255856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10006 (or 9983 counting only the distinct ones).

The product of its digits is 4032000, while the sum is 54.

The spelling of 3871211255856 in words is "three trillion, eight hundred seventy-one billion, two hundred eleven million, two hundred fifty-five thousand, eight hundred fifty-six".