1005505608080 has 40 divisors (see below), whose sum is σ = 2337882868152. Its totient is φ = 402188079104.

The previous prime is 1005505608071. The next prime is 1005505608089. The reversal of 1005505608080 is 808065055001.

It is an interprime number because it is at equal distance from previous prime (1005505608071) and next prime (1005505608089).

It can be written as a sum of positive squares in 4 ways, for example, as 229161349264 + 776344258816 = 478708^2 + 881104^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×1005505608080² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1005505608089) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2233694 + ... + 2645826.

Almost surely, 2^{1005505608080} is an apocalyptic number.

1005505608080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1005505608080 is an abundant number, since it is smaller than the sum of its proper divisors (1332377260072).

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

1005505608080 is a wasteful number, since it uses less digits than its factorization.

1005505608080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442643 (or 442637 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 38.

The spelling of 1005505608080 in words is "one trillion, five billion, five hundred five million, six hundred eight thousand, eighty".