1085092339968 has 1296 divisors, whose sum is σ = 4114512642240. Its totient is φ = 282677133312.

The previous prime is 1085092339967. The next prime is 1085092339997. The reversal of 1085092339968 is 8699332905801.

1085092339968 is a `hidden beast` number, since 1 + 0 + 8 + 509 + 2 + 3 + 39 + 96 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (1085092339967) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5508082846 + ... + 5508083042.

Almost surely, 2^{1085092339968} is an apocalyptic number.

1085092339968 is a gapful number since it is divisible by the number (18) 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 1085092339968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2057256321120).

1085092339968 is an abundant number, since it is smaller than the sum of its proper divisors (3029420302272).

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

1085092339968 is a wasteful number, since it uses less digits than its factorization.

1085092339968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 25194240, while the sum is 63.

The spelling of 1085092339968 in words is "one trillion, eighty-five billion, ninety-two million, three hundred thirty-nine thousand, nine hundred sixty-eight".