1085730949952 has 224 divisors, whose sum is σ = 2539232716800. Its totient is φ = 455375001600.

The previous prime is 1085730949883. The next prime is 1085730949957. The reversal of 1085730949952 is 2599490375801.

1085730949952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1085730949957) 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, 84034949 + ... + 84047867.

Almost surely, 2^{1085730949952} 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 1085730949952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1269616358400).

1085730949952 is an abundant number, since it is smaller than the sum of its proper divisors (1453501766848).

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

1085730949952 is a wasteful number, since it uses less digits than its factorization.

1085730949952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13125 (or 13115 counting only the distinct ones).

The product of its (nonzero) digits is 24494400, while the sum is 62.

The spelling of 1085730949952 in words is "one trillion, eighty-five billion, seven hundred thirty million, nine hundred forty-nine thousand, nine hundred fifty-two".