1085093674560 has 1344 divisors, whose sum is σ = 4709841776640. Its totient is φ = 223590481920.

The previous prime is 1085093674549. The next prime is 1085093674597. The reversal of 1085093674560 is 654763905801.

1085093674560 is a `hidden beast` number, since 1 + 0 + 8 + 5 + 0 + 9 + 3 + 6 + 74 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a junction number, because it is equal to n+sod(n) for n = 1085093674497 and 1085093674506.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1158050412 + ... + 1158051348.

It is an arithmetic number, because the mean of its divisors is an integer number (3504346560).

Almost surely, 2^{1085093674560} is an apocalyptic number.

1085093674560 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 1085093674560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2354920888320).

1085093674560 is an abundant number, since it is smaller than the sum of its proper divisors (3624748102080).

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

1085093674560 is a wasteful number, since it uses less digits than its factorization.

1085093674560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1124 (or 1111 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 1085093674560 in words is "one trillion, eighty-five billion, ninety-three million, six hundred seventy-four thousand, five hundred sixty".