1075661575560 has 192 divisors, whose sum is σ = 4107071666880. Its totient is φ = 240707473920.

The previous prime is 1075661575553. The next prime is 1075661575561. The reversal of 1075661575560 is 655751665701.

1075661575560 is a `hidden beast` number, since 1 + 0 + 7 + 5 + 6 + 6 + 1 + 5 + 75 + 560 = 666.

1075661575560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1075661575497 and 1075661575506.

It is not an unprimeable number, because it can be changed into a prime (1075661575561) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10395894 + ... + 10498853.

It is an arithmetic number, because the mean of its divisors is an integer number (21390998265).

Almost surely, 2^{1075661575560} is an apocalyptic number.

1075661575560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1075661575560 is an abundant number, since it is smaller than the sum of its proper divisors (3031410091320).

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

1075661575560 is a wasteful number, since it uses less digits than its factorization.

1075661575560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20894788 (or 20894781 counting only the distinct ones).

The product of its (nonzero) digits is 6615000, while the sum is 54.

The spelling of 1075661575560 in words is "one trillion, seventy-five billion, six hundred sixty-one million, five hundred seventy-five thousand, five hundred sixty".