17220172517472 has 96 divisors (see below), whose sum is σ = 46140043364352. Its totient is φ = 5621457913344.

The previous prime is 17220172517323. The next prime is 17220172517473. The reversal of 17220172517472 is 27471527102271.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (17220172517473) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 310528 + ... + 5876799.

It is an arithmetic number, because the mean of its divisors is an integer number (480625451712).

Almost surely, 2^{17220172517472} is an apocalyptic number.

17220172517472 is a gapful number since it is divisible by the number (12) 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 17220172517472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23070021682176).

17220172517472 is an abundant number, since it is smaller than the sum of its proper divisors (28919870846880).

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

17220172517472 is a wasteful number, since it uses less digits than its factorization.

17220172517472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6187940 (or 6187932 counting only the distinct ones).

The product of its (nonzero) digits is 768320, while the sum is 48.

The spelling of 17220172517472 in words is "seventeen trillion, two hundred twenty billion, one hundred seventy-two million, five hundred seventeen thousand, four hundred seventy-two".