1600291147728 has 640 divisors, whose sum is σ = 5495712251904. Its totient is φ = 389936332800.

The previous prime is 1600291147711. The next prime is 1600291147813. The reversal of 1600291147728 is 8277411920061.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 260928150 + ... + 260934282.

Almost surely, 2^{1600291147728} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1600291147728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2747856125952).

1600291147728 is an abundant number, since it is smaller than the sum of its proper divisors (3895421104176).

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

1600291147728 is a wasteful number, since it uses less digits than its factorization.

1600291147728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6283 (or 6277 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 48.

The spelling of 1600291147728 in words is "one trillion, six hundred billion, two hundred ninety-one million, one hundred forty-seven thousand, seven hundred twenty-eight".