17216064000000 has 1638 divisors, whose sum is σ = 66122600924562. Its totient is φ = 4478976000000.

The previous prime is 17216063999989. The next prime is 17216064000131. The reversal of 17216064000000 is 46061271.

17216064000000 is a `hidden beast` number, since 1 + 7 + 2 + 16 + 0 + 640 + 0 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 15563214360576 + 1652849639424 = 3945024^2 + 1285632^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 419903999980 + ... + 419904000020.

Almost surely, 2^{17216064000000} is an apocalyptic number.

17216064000000 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 17216064000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33061300462281).

17216064000000 is an abundant number, since it is smaller than the sum of its proper divisors (48906536924562).

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

17216064000000 is an frugal number, since it uses more digits than its factorization.

17216064000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 17216064000000 in words is "seventeen trillion, two hundred sixteen billion, sixty-four million", and thus it is an aban number.