1717980020064 has 1296 divisors, whose sum is σ = 6769162839600. Its totient is φ = 422287810560.

The previous prime is 1717980020059. The next prime is 1717980020111. The reversal of 1717980020064 is 4600200897171.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1849278352 + ... + 1849279280.

It is an arithmetic number, because the mean of its divisors is an integer number (5223119475).

Almost surely, 2^{1717980020064} is an apocalyptic number.

1717980020064 is a gapful number since it is divisible by the number (14) 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 1717980020064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3384581419800).

1717980020064 is an abundant number, since it is smaller than the sum of its proper divisors (5051182819536).

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

1717980020064 is a wasteful number, since it uses less digits than its factorization.

1717980020064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1022 (or 971 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 1717980020064 in words is "one trillion, seven hundred seventeen billion, nine hundred eighty million, twenty thousand, sixty-four".