3559975896960 has 1536 divisors, whose sum is σ = 15441717657600. Its totient is φ = 736985088000.

The previous prime is 3559975896947. The next prime is 3559975896973. The reversal of 3559975896960 is 696985799553.

3559975896960 is a `hidden beast` number, since 3 + 559 + 9 + 7 + 58 + 9 + 6 + 9 + 6 + 0 = 666.

3559975896960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3559975896947) and next prime (3559975896973).

It is a self number, because there is not a number n which added to its sum of digits gives 3559975896960.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5078424610 + ... + 5078425310.

It is an arithmetic number, because the mean of its divisors is an integer number (10053201600).

Almost surely, 2^{3559975896960} is an apocalyptic number.

3559975896960 is a gapful number since it is divisible by the number (30) 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 3559975896960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7720858828800).

3559975896960 is an abundant number, since it is smaller than the sum of its proper divisors (11881741760640).

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

3559975896960 is a wasteful number, since it uses less digits than its factorization.

3559975896960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020 (or 1005 counting only the distinct ones).

The product of its (nonzero) digits is 4960116000, while the sum is 81.

The spelling of 3559975896960 in words is "three trillion, five hundred fifty-nine billion, nine hundred seventy-five million, eight hundred ninety-six thousand, nine hundred sixty".