1075123903392 has 576 divisors, whose sum is σ = 3997436002560. Its totient is φ = 265918464000.

The previous prime is 1075123903387. The next prime is 1075123903411. The reversal of 1075123903392 is 2933093215701.

1075123903392 is a `hidden beast` number, since 10 + 7 + 512 + 3 + 9 + 0 + 33 + 92 = 666.

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 95 ways as a sum of consecutive naturals, for example, 46935142 + ... + 46958042.

It is an arithmetic number, because the mean of its divisors is an integer number (6939993060).

Almost surely, 2^{1075123903392} is an apocalyptic number.

1075123903392 is a gapful number since it is divisible by the number (12) 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 1075123903392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1998718001280).

1075123903392 is an abundant number, since it is smaller than the sum of its proper divisors (2922312099168).

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

1075123903392 is a wasteful number, since it uses less digits than its factorization.

1075123903392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23037 (or 23026 counting only the distinct ones).

The product of its (nonzero) digits is 306180, while the sum is 45.

The spelling of 1075123903392 in words is "one trillion, seventy-five billion, one hundred twenty-three million, nine hundred three thousand, three hundred ninety-two".