3855864851856 has 120 divisors (see below), whose sum is σ = 11192450199840. Its totient is φ = 1285091329536.

The previous prime is 3855864851851. The next prime is 3855864851879. The reversal of 3855864851856 is 6581584685583.

3855864851856 is a `hidden beast` number, since 3 + 8 + 5 + 5 + 86 + 485 + 18 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (3855864851851) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 26494135 + ... + 26639273.

It is an arithmetic number, because the mean of its divisors is an integer number (93270418332).

Almost surely, 2^{3855864851856} is an apocalyptic number.

3855864851856 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 3855864851856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5596225099920).

3855864851856 is an abundant number, since it is smaller than the sum of its proper divisors (7336585347984).

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

3855864851856 is a wasteful number, since it uses less digits than its factorization.

3855864851856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151995 (or 151977 counting only the distinct ones).

The product of its digits is 1105920000, while the sum is 72.

The spelling of 3855864851856 in words is "three trillion, eight hundred fifty-five billion, eight hundred sixty-four million, eight hundred fifty-one thousand, eight hundred fifty-six".