1085566206816 has 1440 divisors, whose sum is σ = 4185988595712. Its totient is φ = 273239930880.

The previous prime is 1085566206811. The next prime is 1085566206841. The reversal of 1085566206816 is 6186026655801.

1085566206816 is a `hidden beast` number, since 1 + 0 + 8 + 5 + 5 + 6 + 620 + 6 + 8 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1085566206811) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 6500396365 + ... + 6500396531.

Almost surely, 2^{1085566206816} is an apocalyptic number.

1085566206816 is a gapful number since it is divisible by the number (16) 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 1085566206816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2092994297856).

1085566206816 is an abundant number, since it is smaller than the sum of its proper divisors (3100422388896).

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

1085566206816 is a wasteful number, since it uses less digits than its factorization.

1085566206816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 1085566206816 in words is "one trillion, eighty-five billion, five hundred sixty-six million, two hundred six thousand, eight hundred sixteen".