1608125944320 has 1280 divisors, whose sum is σ = 6793558041600. Its totient is φ = 357314789376.

The previous prime is 1608125944319. The next prime is 1608125944333. The reversal of 1608125944320 is 234495218061.

1608125944320 is a `hidden beast` number, since 1 + 6 + 0 + 8 + 12 + 594 + 43 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

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

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, 1450067926 + ... + 1450069034.

It is an arithmetic number, because the mean of its divisors is an integer number (5307467220).

Almost surely, 2^{1608125944320} is an apocalyptic number.

1608125944320 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 1608125944320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3396779020800).

1608125944320 is an abundant number, since it is smaller than the sum of its proper divisors (5185432097280).

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

1608125944320 is an frugal number, since it uses more digits than its factorization.

1608125944320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1197 (or 1163 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 1608125944320 in words is "one trillion, six hundred eight billion, one hundred twenty-five million, nine hundred forty-four thousand, three hundred twenty".