1606515782256 has 2400 divisors, whose sum is σ = 6827593006080. Its totient is φ = 354077982720.

The previous prime is 1606515782251. The next prime is 1606515782297. The reversal of 1606515782256 is 6522875156061.

1606515782256 is a `hidden beast` number, since 1 + 6 + 0 + 6 + 515 + 78 + 2 + 2 + 56 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1606515782251) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 8154902350 + ... + 8154902546.

Almost surely, 2^{1606515782256} is an apocalyptic number.

1606515782256 is a gapful number since it is divisible by the number (16) 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 1606515782256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3413796503040).

1606515782256 is an abundant number, since it is smaller than the sum of its proper divisors (5221077223824).

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

1606515782256 is a wasteful number, since it uses less digits than its factorization.

1606515782256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 54.

The spelling of 1606515782256 in words is "one trillion, six hundred six billion, five hundred fifteen million, seven hundred eighty-two thousand, two hundred fifty-six".