1075351392128 has 64 divisors (see below), whose sum is σ = 2308702435200. Its totient is φ = 495970019328.

The previous prime is 1075351392121. The next prime is 1075351392133. The reversal of 1075351392128 is 8212931535701.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1075351392121) 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, 2169950 + ... + 2619042.

It is an arithmetic number, because the mean of its divisors is an integer number (36073475550).

Almost surely, 2^{1075351392128} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1075351392128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1154351217600).

1075351392128 is an abundant number, since it is smaller than the sum of its proper divisors (1233351043072).

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

1075351392128 is a wasteful number, since it uses less digits than its factorization.

1075351392128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450559 (or 450547 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 47.

The spelling of 1075351392128 in words is "one trillion, seventy-five billion, three hundred fifty-one million, three hundred ninety-two thousand, one hundred twenty-eight".