1609316928000 has 480 divisors, whose sum is σ = 5835160311552. Its totient is φ = 426286080000.

The previous prime is 1609316927921. The next prime is 1609316928029. The reversal of 1609316928000 is 8296139061.

It is a happy number.

1609316928000 is a `hidden beast` number, since 1 + 609 + 3 + 16 + 9 + 28 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 86966749 + ... + 86985251.

Almost surely, 2^{1609316928000} is an apocalyptic number.

1609316928000 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 1609316928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2917580155776).

1609316928000 is an abundant number, since it is smaller than the sum of its proper divisors (4225843383552).

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

1609316928000 is a wasteful number, since it uses less digits than its factorization.

1609316928000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18693 (or 18664 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 1609316928000 in words is "one trillion, six hundred nine billion, three hundred sixteen million, nine hundred twenty-eight thousand".