1608050189200 has 360 divisors, whose sum is σ = 5124496589352. Its totient is φ = 478983536640.

The previous prime is 1608050189189. The next prime is 1608050189203. The reversal of 1608050189200 is 29810508061.

It can be written as a sum of positive squares in 12 ways, for example, as 908224248064 + 699825941136 = 953008^2 + 836556^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (1608050189203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4145982 + ... + 4517218.

Almost surely, 2^{1608050189200} is an apocalyptic number.

1608050189200 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 1608050189200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2562248294676).

1608050189200 is an abundant number, since it is smaller than the sum of its proper divisors (3516446400152).

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

1608050189200 is a wasteful number, since it uses less digits than its factorization.

1608050189200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371299 (or 371281 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 40.

The spelling of 1608050189200 in words is "one trillion, six hundred eight billion, fifty million, one hundred eighty-nine thousand, two hundred".