1075745596544 has 128 divisors (see below), whose sum is σ = 2220841022400. Its totient is φ = 518640758784.

The previous prime is 1075745596517. The next prime is 1075745596553. The reversal of 1075745596544 is 4456955475701.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 268732847 + ... + 268736849.

Almost surely, 2^{1075745596544} 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 1075745596544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1110420511200).

1075745596544 is an abundant number, since it is smaller than the sum of its proper divisors (1145095425856).

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

1075745596544 is a wasteful number, since it uses less digits than its factorization.

1075745596544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4550 (or 4538 counting only the distinct ones).

The product of its (nonzero) digits is 105840000, while the sum is 62.

The spelling of 1075745596544 in words is "one trillion, seventy-five billion, seven hundred forty-five million, five hundred ninety-six thousand, five hundred forty-four".