1075610960160 has 1152 divisors, whose sum is σ = 4031111992320. Its totient is φ = 238916198400.

The previous prime is 1075610960159. The next prime is 1075610960191. The reversal of 1075610960160 is 610690165701.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 10052438827 + ... + 10052438933.

It is an arithmetic number, because the mean of its divisors is an integer number (3499229160).

Almost surely, 2^{1075610960160} is an apocalyptic number.

1075610960160 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 1075610960160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2015555996160).

1075610960160 is an abundant number, since it is smaller than the sum of its proper divisors (2955501032160).

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

1075610960160 is a wasteful number, since it uses less digits than its factorization.

1075610960160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 42.

The spelling of 1075610960160 in words is "one trillion, seventy-five billion, six hundred ten million, nine hundred sixty thousand, one hundred sixty".