3599161917120 has 672 divisors, whose sum is σ = 15456479201280. Its totient is φ = 746804551680.

The previous prime is 3599161917083. The next prime is 3599161917203. The reversal of 3599161917120 is 217191619953.

3599161917120 is a `hidden beast` number, since 3 + 5 + 9 + 9 + 1 + 619 + 1 + 7 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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 95 ways as a sum of consecutive naturals, for example, 159434154 + ... + 159456726.

Almost surely, 2^{3599161917120} is an apocalyptic number.

3599161917120 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 3599161917120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7728239600640).

3599161917120 is an abundant number, since it is smaller than the sum of its proper divisors (11857317284160).

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

3599161917120 is a wasteful number, since it uses less digits than its factorization.

3599161917120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23333 (or 23320 counting only the distinct ones).

The product of its (nonzero) digits is 918540, while the sum is 54.

The spelling of 3599161917120 in words is "three trillion, five hundred ninety-nine billion, one hundred sixty-one million, nine hundred seventeen thousand, one hundred twenty".