1085484375360 has 672 divisors, whose sum is σ = 4928729824512. Its totient is φ = 212286504960.

The previous prime is 1085484375307. The next prime is 1085484375373. The reversal of 1085484375360 is 635734845801.

1085484375360 is a `hidden beast` number, since 1 + 0 + 8 + 548 + 4 + 37 + 5 + 3 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a junction number, because it is equal to n+sod(n) for n = 1085484375297 and 1085484375306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3625954 + ... + 3913886.

Almost surely, 2^{1085484375360} is an apocalyptic number.

1085484375360 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 1085484375360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2464364912256).

1085484375360 is an abundant number, since it is smaller than the sum of its proper divisors (3843245449152).

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

1085484375360 is a wasteful number, since it uses less digits than its factorization.

1085484375360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287991 (or 287978 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 1085484375360 in words is "one trillion, eighty-five billion, four hundred eighty-four million, three hundred seventy-five thousand, three hundred sixty".