1075020000000 has 1152 divisors, whose sum is σ = 4024114698240. Its totient is φ = 253440000000.

The previous prime is 1075019999993. The next prime is 1075020000007. The reversal of 1075020000000 is 205701.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1075019999993) and next prime (1075020000007).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (1075020000007) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 26219999980 + ... + 26220000020.

It is an arithmetic number, because the mean of its divisors is an integer number (3493155120).

Almost surely, 2^{1075020000000} is an apocalyptic number.

1075020000000 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 1075020000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2012057349120).

1075020000000 is an abundant number, since it is smaller than the sum of its proper divisors (2949094698240).

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

1075020000000 is an frugal number, since it uses more digits than its factorization.

1075020000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 15.

Adding to 1075020000000 its reverse (205701), we get a palindrome (1075020205701).

The spelling of 1075020000000 in words is "one trillion, seventy-five billion, twenty million", and thus it is an aban number and an uban number.