16287008252256 has 288 divisors, whose sum is σ = 54674374809600. Its totient is φ = 4500510750720.

The previous prime is 16287008252237. The next prime is 16287008252261. The reversal of 16287008252256 is 65225280078261.

16287008252256 is a `hidden beast` number, since 1 + 62 + 8 + 7 + 0 + 0 + 8 + 2 + 522 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 101100540 + ... + 101261508.

It is an arithmetic number, because the mean of its divisors is an integer number (189841579200).

Almost surely, 2^{16287008252256} is an apocalyptic number.

16287008252256 is a gapful number since it is divisible by the number (16) 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 16287008252256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27337187404800).

16287008252256 is an abundant number, since it is smaller than the sum of its proper divisors (38387366557344).

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

16287008252256 is a wasteful number, since it uses less digits than its factorization.

16287008252256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162642 (or 162631 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 16287008252256 in words is "sixteen trillion, two hundred eighty-seven billion, eight million, two hundred fifty-two thousand, two hundred fifty-six".