17135442027216 has 40 divisors (see below), whose sum is σ = 49185065079360. Its totient is φ = 5711814008928.

The previous prime is 17135442027073. The next prime is 17135442027257. The reversal of 17135442027216 is 61272024453171.

17135442027216 is a `hidden beast` number, since 1 + 7 + 1 + 3 + 5 + 4 + 420 + 2 + 7 + 216 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19832687100 + ... + 19832687963.

It is an arithmetic number, because the mean of its divisors is an integer number (1229626626984).

Almost surely, 2^{17135442027216} is an apocalyptic number.

17135442027216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

17135442027216 is an abundant number, since it is smaller than the sum of its proper divisors (32049623052144).

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

17135442027216 is a wasteful number, since it uses less digits than its factorization.

17135442027216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39665375080 (or 39665375068 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 17135442027216 in words is "seventeen trillion, one hundred thirty-five billion, four hundred forty-two million, twenty-seven thousand, two hundred sixteen".