16855252001280 has 2880 divisors, whose sum is σ = 81368262847872. Its totient is φ = 3295252316160.

The previous prime is 16855252001257. The next prime is 16855252001299. The reversal of 16855252001280 is 8210025255861.

16855252001280 is a `hidden beast` number, since 1 + 6 + 8 + 552 + 5 + 2 + 0 + 0 + 12 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5700117562 + ... + 5700120518.

Almost surely, 2^{16855252001280} is an apocalyptic number.

16855252001280 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 16855252001280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40684131423936).

16855252001280 is an abundant number, since it is smaller than the sum of its proper divisors (64513010846592).

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

16855252001280 is a wasteful number, since it uses less digits than its factorization.

16855252001280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3037 (or 3002 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 45.

The spelling of 16855252001280 in words is "sixteen trillion, eight hundred fifty-five billion, two hundred fifty-two million, one thousand, two hundred eighty".