17116664953920 has 224 divisors, whose sum is σ = 62132017545216. Its totient is φ = 3910933248000.

The previous prime is 17116664953919. The next prime is 17116664953963. The reversal of 17116664953920 is 2935946661171.

It is a happy number.

17116664953920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17748145 + ... + 18687695.

Almost surely, 2^{17116664953920} is an apocalyptic number.

17116664953920 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 17116664953920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31066008772608).

17116664953920 is an abundant number, since it is smaller than the sum of its proper divisors (45015352591296).

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

17116664953920 is a wasteful number, since it uses less digits than its factorization.

17116664953920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 942289 (or 942279 counting only the distinct ones).

The product of its (nonzero) digits is 14696640, while the sum is 60.

The spelling of 17116664953920 in words is "seventeen trillion, one hundred sixteen billion, six hundred sixty-four million, nine hundred fifty-three thousand, nine hundred twenty".