1720288088064 has 1092 divisors, whose sum is σ = 6396140375616. Its totient is φ = 452770725888.

The previous prime is 1720288088063. The next prime is 1720288088083. The reversal of 1720288088064 is 4608808820271.

It is a tau number, because it is divible by the number of its divisors (1092).

It is a super-2 number, since 2×1720288088064² (a number of 25 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1720288088064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1720288088063) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 3532418829 + ... + 3532419315.

Almost surely, 2^{1720288088064} is an apocalyptic number.

1720288088064 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 1720288088064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3198070187808).

1720288088064 is an abundant number, since it is smaller than the sum of its proper divisors (4675852287552).

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

1720288088064 is an frugal number, since it uses more digits than its factorization.

1720288088064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 2752512, while the sum is 54.

The spelling of 1720288088064 in words is "one trillion, seven hundred twenty billion, two hundred eighty-eight million, eighty-eight thousand, sixty-four".