1080788507280 has 60 divisors (see below), whose sum is σ = 3629648072700. Its totient is φ = 288210268416.

The previous prime is 1080788507273. The next prime is 1080788507287. The reversal of 1080788507280 is 827058870801.

1080788507280 is a `hidden beast` number, since 108 + 0 + 7 + 8 + 8 + 507 + 28 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1080788507273) and next prime (1080788507287).

It can be written as a sum of positive squares in 2 ways, for example, as 456694827264 + 624093680016 = 675792^2 + 789996^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×1080788507280² (a number of 25 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1080788507287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 750546855 + ... + 750548294.

It is an arithmetic number, because the mean of its divisors is an integer number (60494134545).

Almost surely, 2^{1080788507280} is an apocalyptic number.

1080788507280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1080788507280 is an abundant number, since it is smaller than the sum of its proper divisors (2548859565420).

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

1080788507280 is a wasteful number, since it uses less digits than its factorization.

1080788507280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1501095168 (or 1501095159 counting only the distinct ones).

The product of its (nonzero) digits is 2007040, while the sum is 54.

The spelling of 1080788507280 in words is "one trillion, eighty billion, seven hundred eighty-eight million, five hundred seven thousand, two hundred eighty".