1020172817664 has 2016 divisors, whose sum is σ = 4227688464384. Its totient is φ = 237027409920.

The previous prime is 1020172817663. The next prime is 1020172817669. The reversal of 1020172817664 is 4667182710201.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020172817663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 8032856769 + ... + 8032856895.

Almost surely, 2^{1020172817664} is an apocalyptic number.

1020172817664 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 1020172817664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2113844232192).

1020172817664 is an abundant number, since it is smaller than the sum of its proper divisors (3207515646720).

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

1020172817664 is a wasteful number, since it uses less digits than its factorization.

1020172817664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 1020172817664 in words is "one trillion, twenty billion, one hundred seventy-two million, eight hundred seventeen thousand, six hundred sixty-four".