1005094442160 has 1440 divisors, whose sum is σ = 3990744576000. Its totient is φ = 234519183360.

The previous prime is 1005094442141. The next prime is 1005094442173. The reversal of 1005094442160 is 612444905001.

1005094442160 is a `hidden beast` number, since 1 + 0 + 0 + 50 + 9 + 4 + 442 + 160 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5050725741 + ... + 5050725939.

It is an arithmetic number, because the mean of its divisors is an integer number (2771350400).

Almost surely, 2^{1005094442160} is an apocalyptic number.

1005094442160 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 1005094442160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1995372288000).

1005094442160 is an abundant number, since it is smaller than the sum of its proper divisors (2985650133840).

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

1005094442160 is a wasteful number, since it uses less digits than its factorization.

1005094442160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 1005094442160 in words is "one trillion, five billion, ninety-four million, four hundred forty-two thousand, one hundred sixty".