3559558954896 has 480 divisors, whose sum is σ = 12290177664000. Its totient is φ = 982493245440.

The previous prime is 3559558954877. The next prime is 3559558954901. The reversal of 3559558954896 is 6984598559553.

3559558954896 is a `hidden beast` number, since 3 + 5 + 5 + 9 + 55 + 89 + 5 + 489 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 402251080 + ... + 402259928.

It is an arithmetic number, because the mean of its divisors is an integer number (25604536800).

Almost surely, 2^{3559558954896} is an apocalyptic number.

3559558954896 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 3559558954896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6145088832000).

3559558954896 is an abundant number, since it is smaller than the sum of its proper divisors (8730618709104).

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

3559558954896 is a wasteful number, since it uses less digits than its factorization.

3559558954896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9524 (or 9505 counting only the distinct ones).

The product of its digits is 10497600000, while the sum is 81.

The spelling of 3559558954896 in words is "three trillion, five hundred fifty-nine billion, five hundred fifty-eight million, nine hundred fifty-four thousand, eight hundred ninety-six".