1608427771200 has 504 divisors, whose sum is σ = 5821787159552. Its totient is φ = 421103370240.

The previous prime is 1608427771193. The next prime is 1608427771201. The reversal of 1608427771200 is 21777248061.

1608427771200 is a `hidden beast` number, since 1 + 608 + 4 + 27 + 7 + 7 + 12 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1608427771201) 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, 177389067 + ... + 177398133.

Almost surely, 2^{1608427771200} is an apocalyptic number.

1608427771200 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 1608427771200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2910893579776).

1608427771200 is an abundant number, since it is smaller than the sum of its proper divisors (4213359388352).

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

1608427771200 is a wasteful number, since it uses less digits than its factorization.

1608427771200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9319 (or 9301 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 45.

The spelling of 1608427771200 in words is "one trillion, six hundred eight billion, four hundred twenty-seven million, seven hundred seventy-one thousand, two hundred".