16855434288 has 640 divisors, whose sum is σ = 63381657600. Its totient is φ = 4161024000.

The previous prime is 16855434257. The next prime is 16855434307. The reversal of 16855434288 is 88243455861.

16855434288 is a `hidden beast` number, since 1 + 6 + 8 + 554 + 3 + 4 + 2 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 97430170 + ... + 97430342.

It is an arithmetic number, because the mean of its divisors is an integer number (99033840).

Almost surely, 2^16855434288 is an apocalyptic number.

16855434288 is a gapful number since it is divisible by the number (18) 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 16855434288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31690828800).

16855434288 is an abundant number, since it is smaller than the sum of its proper divisors (46526223312).

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

16855434288 is a wasteful number, since it uses less digits than its factorization.

16855434288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 326 counting only the distinct ones).

The product of its digits is 7372800, while the sum is 54.

The spelling of 16855434288 in words is "sixteen billion, eight hundred fifty-five million, four hundred thirty-four thousand, two hundred eighty-eight".