1005286464000 has 1600 divisors, whose sum is σ = 4610954380032. Its totient is φ = 212004864000.

The previous prime is 1005286463989. The next prime is 1005286464001. The reversal of 1005286464000 is 4646825001.

1005286464000 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 2 + 8 + 6 + 4 + 640 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1600).

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

It is not an unprimeable number, because it can be changed into a prime (1005286464001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 471742935 + ... + 471745065.

Almost surely, 2^{1005286464000} is an apocalyptic number.

1005286464000 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 1005286464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2305477190016).

1005286464000 is an abundant number, since it is smaller than the sum of its proper divisors (3605667916032).

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

1005286464000 is an equidigital number, since it uses as much as digits as its factorization.

1005286464000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2196 (or 2161 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 1005286464000 in words is "one trillion, five billion, two hundred eighty-six million, four hundred sixty-four thousand".