3559885894656 has 1584 divisors, whose sum is σ = 13737550235136. Its totient is φ = 911991177216.

The previous prime is 3559885894601. The next prime is 3559885894681. The reversal of 3559885894656 is 6564985889553.

3559885894656 is a `hidden beast` number, since 3 + 559 + 8 + 8 + 5 + 8 + 9 + 4 + 6 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5864721105 + ... + 5864721711.

Almost surely, 2^{3559885894656} is an apocalyptic number.

3559885894656 is a gapful number since it is divisible by the number (36) 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 3559885894656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6868775117568).

3559885894656 is an abundant number, since it is smaller than the sum of its proper divisors (10177664340480).

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

3559885894656 is a wasteful number, since it uses less digits than its factorization.

3559885894656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 706 (or 669 counting only the distinct ones).

The product of its digits is 11197440000, while the sum is 81.

The spelling of 3559885894656 in words is "three trillion, five hundred fifty-nine billion, eight hundred eighty-five million, eight hundred ninety-four thousand, six hundred fifty-six".