1007995066128 has 120 divisors (see below), whose sum is σ = 2842074285336. Its totient is φ = 333494784000.

The previous prime is 1007995066087. The next prime is 1007995066129. The reversal of 1007995066128 is 8216605997001.

1007995066128 is a `hidden beast` number, since 1 + 0 + 0 + 7 + 9 + 9 + 506 + 6 + 128 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3413831184 + 1004581234944 = 58428^2 + 1002288^2 .

It is not an unprimeable number, because it can be changed into a prime (1007995066129) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11900728 + ... + 11985128.

Almost surely, 2^{1007995066128} is an apocalyptic number.

1007995066128 is a gapful number since it is divisible by the number (18) 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 1007995066128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1421037142668).

1007995066128 is an abundant number, since it is smaller than the sum of its proper divisors (1834079219208).

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

1007995066128 is a wasteful number, since it uses less digits than its factorization.

1007995066128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85033 (or 85024 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 54.

The spelling of 1007995066128 in words is "one trillion, seven billion, nine hundred ninety-five million, sixty-six thousand, one hundred twenty-eight".