1006506110016 has 84 divisors (see below), whose sum is σ = 3147237875184. Its totient is φ = 305001849600.

The previous prime is 1006506110003. The next prime is 1006506110069. The reversal of 1006506110016 is 6100116056001.

1006506110016 is a `hidden beast` number, since 1 + 0 + 0 + 650 + 6 + 1 + 1 + 0 + 0 + 1 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 79421230 + ... + 79433901.

Almost surely, 2^{1006506110016} is an apocalyptic number.

1006506110016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1006506110016 is an abundant number, since it is smaller than the sum of its proper divisors (2140731765168).

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

1006506110016 is a wasteful number, since it uses less digits than its factorization.

1006506110016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158855160 (or 158855147 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The spelling of 1006506110016 in words is "one trillion, six billion, five hundred six million, one hundred ten thousand, sixteen".