1085365702080 has 1008 divisors, whose sum is σ = 4273436512800. Its totient is φ = 252345139200.

The previous prime is 1085365702039. The next prime is 1085365702081. The reversal of 1085365702080 is 802075635801.

1085365702080 is a `hidden beast` number, since 1 + 0 + 8 + 53 + 6 + 570 + 20 + 8 + 0 = 666.

It is a super-2 number, since 2×1085365702080² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1085365702081) 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, 2132348866 + ... + 2132349374.

It is an arithmetic number, because the mean of its divisors is an integer number (4239520350).

Almost surely, 2^{1085365702080} is an apocalyptic number.

1085365702080 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 1085365702080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2136718256400).

1085365702080 is an abundant number, since it is smaller than the sum of its proper divisors (3188070810720).

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

1085365702080 is a wasteful number, since it uses less digits than its factorization.

1085365702080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 1085365702080 in words is "one trillion, eighty-five billion, three hundred sixty-five million, seven hundred two thousand, eighty".