1005060006000 has 480 divisors, whose sum is σ = 3557101616640. Its totient is φ = 264466944000.

The previous prime is 1005060005981. The next prime is 1005060006031. The reversal of 1005060006000 is 6000605001.

1005060006000 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 0 + 60 + 0 + 0 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 551321089 + ... + 551322911.

It is an arithmetic number, because the mean of its divisors is an integer number (7410628368).

Almost surely, 2^{1005060006000} is an apocalyptic number.

1005060006000 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 1005060006000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1778550808320).

1005060006000 is an abundant number, since it is smaller than the sum of its proper divisors (2552041610640).

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

1005060006000 is a wasteful number, since it uses less digits than its factorization.

1005060006000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2242 (or 2223 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The spelling of 1005060006000 in words is "one trillion, five billion, sixty million, six thousand".