1005000056064 has 108 divisors (see below), whose sum is σ = 2898628090176. Its totient is φ = 334888436736.

The previous prime is 1005000056023. The next prime is 1005000056083. The reversal of 1005000056064 is 4606500005001.

It is a happy number.

1005000056064 is a `hidden beast` number, since 1 + 0 + 0 + 50 + 0 + 0 + 0 + 5 + 606 + 4 = 666.

It is a super-2 number, since 2×1005000056064² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6995257 + ... + 7137479.

Almost surely, 2^{1005000056064} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1005000056064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1449314045088).

1005000056064 is an abundant number, since it is smaller than the sum of its proper divisors (1893628034112).

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

1005000056064 is a wasteful number, since it uses less digits than its factorization.

1005000056064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145312 (or 145295 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 1005000056064 in words is "one trillion, five billion, fifty-six thousand, sixty-four".