16085455200 has 288 divisors, whose sum is σ = 58316267520. Its totient is φ = 4279104000.

The previous prime is 16085455189. The next prime is 16085455219. The reversal of 16085455200 is 255458061.

16085455200 is a `hidden beast` number, since 1 + 60 + 8 + 545 + 52 + 0 + 0 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 13974625 + ... + 13975775.

It is an arithmetic number, because the mean of its divisors is an integer number (202487040).

Almost surely, 2^16085455200 is an apocalyptic number.

16085455200 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 16085455200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29158133760).

16085455200 is an abundant number, since it is smaller than the sum of its proper divisors (42230812320).

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

16085455200 is a wasteful number, since it uses less digits than its factorization.

16085455200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1827 (or 1808 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The spelling of 16085455200 in words is "sixteen billion, eighty-five million, four hundred fifty-five thousand, two hundred".