1075057820000 has 120 divisors (see below), whose sum is σ = 2645558319096. Its totient is φ = 429900416000.

The previous prime is 1075057819967. The next prime is 1075057820041. The reversal of 1075057820000 is 287505701.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 108335039 + ... + 108344961.

Almost surely, 2^{1075057820000} is an apocalyptic number.

1075057820000 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 1075057820000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1322779159548).

1075057820000 is an abundant number, since it is smaller than the sum of its proper divisors (1570500499096).

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

1075057820000 is an frugal number, since it uses more digits than its factorization.

1075057820000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15370 (or 15347 counting only the distinct ones).

The product of its (nonzero) digits is 19600, while the sum is 35.

The spelling of 1075057820000 in words is "one trillion, seventy-five billion, fifty-seven million, eight hundred twenty thousand".