2016010985472 has 392 divisors, whose sum is σ = 6594649645320. Its totient is φ = 610892513280.

The previous prime is 2016010985459. The next prime is 2016010985477. The reversal of 2016010985472 is 2745890106102.

2016010985472 is a `hidden beast` number, since 2 + 0 + 1 + 6 + 0 + 10 + 98 + 547 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2016010985477) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 65676304 + ... + 65706992.

Almost surely, 2^{2016010985472} is an apocalyptic number.

2016010985472 is a gapful number since it is divisible by the number (22) 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 2016010985472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3297324822660).

2016010985472 is an abundant number, since it is smaller than the sum of its proper divisors (4578638659848).

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

2016010985472 is an frugal number, since it uses more digits than its factorization.

2016010985472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30744 (or 30705 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 2016010985472 in words is "two trillion, sixteen billion, ten million, nine hundred eighty-five thousand, four hundred seventy-two".