2017172868480 has 2048 divisors, whose sum is σ = 9376114176000. Its totient is φ = 397600358400.

The previous prime is 2017172868457. The next prime is 2017172868493. The reversal of 2017172868480 is 848682717102.

2017172868480 is a `hidden beast` number, since 2 + 0 + 17 + 1 + 72 + 86 + 8 + 480 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2353760212 + ... + 2353761068.

It is an arithmetic number, because the mean of its divisors is an integer number (4578180750).

Almost surely, 2^{2017172868480} is an apocalyptic number.

2017172868480 is a gapful number since it is divisible by the number (20) 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 2017172868480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4688057088000).

2017172868480 is an abundant number, since it is smaller than the sum of its proper divisors (7358941307520).

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

2017172868480 is a wasteful number, since it uses less digits than its factorization.

2017172868480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 993 (or 975 counting only the distinct ones).

The product of its (nonzero) digits is 2408448, while the sum is 54.

The spelling of 2017172868480 in words is "two trillion, seventeen billion, one hundred seventy-two million, eight hundred sixty-eight thousand, four hundred eighty".