1602006804288 has 336 divisors, whose sum is σ = 5308889722560. Its totient is φ = 469791360000.

The previous prime is 1602006804263. The next prime is 1602006804301. The reversal of 1602006804288 is 8824086002061.

1602006804288 is a `hidden beast` number, since 16 + 0 + 200 + 6 + 8 + 0 + 428 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18222838 + ... + 18310538.

Almost surely, 2^{1602006804288} is an apocalyptic number.

1602006804288 is a gapful number since it is divisible by the number (18) 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 1602006804288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2654444861280).

1602006804288 is an abundant number, since it is smaller than the sum of its proper divisors (3706882918272).

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

1602006804288 is a wasteful number, since it uses less digits than its factorization.

1602006804288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87795 (or 87748 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 1602006804288 in words is "one trillion, six hundred two billion, six million, eight hundred four thousand, two hundred eighty-eight".