1716097725216 has 768 divisors, whose sum is σ = 6038137405440. Its totient is φ = 463905792000.

The previous prime is 1716097725203. The next prime is 1716097725217. The reversal of 1716097725216 is 6125277906171.

1716097725216 is a `hidden beast` number, since 1 + 7 + 1 + 609 + 7 + 7 + 2 + 5 + 21 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1716097725217) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1823695306 + ... + 1823696246.

It is an arithmetic number, because the mean of its divisors is an integer number (7862158080).

Almost surely, 2^{1716097725216} is an apocalyptic number.

1716097725216 is a gapful number since it is divisible by the number (16) 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 1716097725216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3019068702720).

1716097725216 is an abundant number, since it is smaller than the sum of its proper divisors (4322039680224).

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

1716097725216 is a wasteful number, since it uses less digits than its factorization.

1716097725216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1206 (or 1192 counting only the distinct ones).

The product of its (nonzero) digits is 2222640, while the sum is 54.

The spelling of 1716097725216 in words is "one trillion, seven hundred sixteen billion, ninety-seven million, seven hundred twenty-five thousand, two hundred sixteen".