17159483120640 has 1584 divisors, whose sum is σ = 67870327283712. Its totient is φ = 3623997210624.

The previous prime is 17159483120617. The next prime is 17159483120651. The reversal of 17159483120640 is 4602138495171.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 135114040257 + ... + 135114040383.

It is a 1-persistent number, because it is pandigital, but 2⋅17159483120640 = 34318966241280 is not.

Almost surely, 2^{17159483120640} is an apocalyptic number.

17159483120640 is a gapful number since it is divisible by the number (10) 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 17159483120640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33935163641856).

17159483120640 is an abundant number, since it is smaller than the sum of its proper divisors (50710844163072).

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

17159483120640 is a wasteful number, since it uses less digits than its factorization.

17159483120640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 51.

The spelling of 17159483120640 in words is "seventeen trillion, one hundred fifty-nine billion, four hundred eighty-three million, one hundred twenty thousand, six hundred forty".