1721511940096 has 351 divisors, whose sum is σ = 3982287921489. Its totient is φ = 743656882176.

The previous prime is 1721511940051. The next prime is 1721511940163. The reversal of 1721511940096 is 6900491151271.

The square root of 1721511940096 is 1312064.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 254661529600 + 1466850410496 = 504640^2 + 1211136^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 20741107671 + ... + 20741107753.

Almost surely, 2^{1721511940096} is an apocalyptic number.

1721511940096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1721511940096 is the 1312064-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1721511940096

1721511940096 is an abundant number, since it is smaller than the sum of its proper divisors (2260775981393).

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

1721511940096 is an frugal number, since it uses more digits than its factorization.

1721511940096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 46.

The spelling of 1721511940096 in words is "one trillion, seven hundred twenty-one billion, five hundred eleven million, nine hundred forty thousand, ninety-six".