1075198182912 has 960 divisors, whose sum is σ = 4081367347200. Its totient is φ = 264996126720.

The previous prime is 1075198182907. The next prime is 1075198182923. The reversal of 1075198182912 is 2192818915701.

It is a happy number.

1075198182912 is a `hidden beast` number, since 10 + 7 + 519 + 81 + 8 + 29 + 12 = 666.

It is a super-2 number, since 2×1075198182912² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 322977664 + ... + 322980992.

It is an arithmetic number, because the mean of its divisors is an integer number (4251424320).

Almost surely, 2^{1075198182912} is an apocalyptic number.

1075198182912 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 1075198182912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2040683673600).

1075198182912 is an abundant number, since it is smaller than the sum of its proper divisors (3006169164288).

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

1075198182912 is a wasteful number, since it uses less digits than its factorization.

1075198182912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3427 (or 3408 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 54.

The spelling of 1075198182912 in words is "one trillion, seventy-five billion, one hundred ninety-eight million, one hundred eighty-two thousand, nine hundred twelve".