1085050080 has 240 divisors, whose sum is σ = 3962740320. Its totient is φ = 279272448.

The previous prime is 1085050063. The next prime is 1085050097. The reversal of 1085050080 is 800505801.

1085050080 is a `hidden beast` number, since 1 + 0 + 85 + 0 + 500 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (1085050063) and next prime (1085050097).

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×1085050080² = 2354667352216012800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 374397 + ... + 377283.

It is an arithmetic number, because the mean of its divisors is an integer number (16511418).

Almost surely, 2^1085050080 is an apocalyptic number.

1085050080 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 1085050080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1981370160).

1085050080 is an abundant number, since it is smaller than the sum of its proper divisors (2877690240).

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

1085050080 is a wasteful number, since it uses less digits than its factorization.

1085050080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2943 (or 2926 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 27.

The square root of 1085050080 is about 32940.0983605089. The cubic root of 1085050080 is about 1027.5822513942.

Adding to 1085050080 its reverse (800505801), we get a palindrome (1885555881).

The spelling of 1085050080 in words is "one billion, eighty-five million, fifty thousand, eighty".