1075359977120 has 192 divisors, whose sum is σ = 3080970224640. Its totient is φ = 349315891200.

The previous prime is 1075359977071. The next prime is 1075359977161. The reversal of 1075359977120 is 217799535701.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48785 + ... + 1467344.

It is an arithmetic number, because the mean of its divisors is an integer number (16046719920).

Almost surely, 2^{1075359977120} is an apocalyptic number.

1075359977120 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 1075359977120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1540485112320).

1075359977120 is an abundant number, since it is smaller than the sum of its proper divisors (2005610247520).

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

1075359977120 is a wasteful number, since it uses less digits than its factorization.

1075359977120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1516199 (or 1516191 counting only the distinct ones).

The product of its (nonzero) digits is 4167450, while the sum is 56.

The spelling of 1075359977120 in words is "one trillion, seventy-five billion, three hundred fifty-nine million, nine hundred seventy-seven thousand, one hundred twenty".