1085278588200 has 144 divisors (see below), whose sum is σ = 3649800772800. Its totient is φ = 289004764800.

The previous prime is 1085278588193. The next prime is 1085278588211. The reversal of 1085278588200 is 28858725801.

1085278588200 is a `hidden beast` number, since 1 + 0 + 8 + 52 + 7 + 8 + 588 + 2 + 0 + 0 = 666.

It is a super-2 number, since 2×1085278588200² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 874915 + ... + 1713485.

It is an arithmetic number, because the mean of its divisors is an integer number (25345838700).

Almost surely, 2^{1085278588200} is an apocalyptic number.

1085278588200 is a gapful number since it is divisible by the number (10) 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 1085278588200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1824900386400).

1085278588200 is an abundant number, since it is smaller than the sum of its proper divisors (2564522184600).

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

1085278588200 is a wasteful number, since it uses less digits than its factorization.

1085278588200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 839312 (or 839300 counting only the distinct ones).

The product of its (nonzero) digits is 2867200, while the sum is 54.

The spelling of 1085278588200 in words is "one trillion, eighty-five billion, two hundred seventy-eight million, five hundred eighty-eight thousand, two hundred".