1005216060000 has 240 divisors, whose sum is σ = 3319176123648. Its totient is φ = 266280000000.

The previous prime is 1005216059987. The next prime is 1005216060031. The reversal of 1005216060000 is 606125001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9004525 + ... + 9115475.

Almost surely, 2^{1005216060000} is an apocalyptic number.

1005216060000 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 1005216060000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1659588061824).

1005216060000 is an abundant number, since it is smaller than the sum of its proper divisors (2313960063648).

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

1005216060000 is a wasteful number, since it uses less digits than its factorization.

1005216060000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111135 (or 111112 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The spelling of 1005216060000 in words is "one trillion, five billion, two hundred sixteen million, sixty thousand".