1085521978112 has 288 divisors, whose sum is σ = 2681342092800. Its totient is φ = 431553576960.

The previous prime is 1085521978111. The next prime is 1085521978183. The reversal of 1085521978112 is 2118791255801.

It is a happy number.

1085521978112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (1085521978111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90086264 + ... + 90098312.

It is an arithmetic number, because the mean of its divisors is an integer number (9310215600).

Almost surely, 2^{1085521978112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1085521978112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1340671046400).

1085521978112 is an abundant number, since it is smaller than the sum of its proper divisors (1595820114688).

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

1085521978112 is a wasteful number, since it uses less digits than its factorization.

1085521978112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12219 (or 12205 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 50.

The spelling of 1085521978112 in words is "one trillion, eighty-five billion, five hundred twenty-one million, nine hundred seventy-eight thousand, one hundred twelve".