1085208068880 has 600 divisors, whose sum is σ = 4099800718728. Its totient is φ = 265919127552.

The previous prime is 1085208068851. The next prime is 1085208068941. The reversal of 1085208068880 is 888608025801.

It is a happy number.

1085208068880 is a `hidden beast` number, since 108 + 520 + 8 + 0 + 6 + 8 + 8 + 8 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 972416876544 + 112791192336 = 986112^2 + 335844^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 255160834 + ... + 255165086.

Almost surely, 2^{1085208068880} is an apocalyptic number.

1085208068880 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 1085208068880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2049900359364).

1085208068880 is an abundant number, since it is smaller than the sum of its proper divisors (3014592649848).

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

1085208068880 is a wasteful number, since it uses less digits than its factorization.

1085208068880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4537 (or 4509 counting only the distinct ones).

The product of its (nonzero) digits is 1966080, while the sum is 54.

The spelling of 1085208068880 in words is "one trillion, eighty-five billion, two hundred eight million, sixty-eight thousand, eight hundred eighty".