1721868840000 has 595 divisors, whose sum is σ = 6404512624147. Its totient is φ = 459165024000.

The previous prime is 1721868839987. The next prime is 1721868840019. The reversal of 1721868840000 is 488681271.

The square root of 1721868840000 is 1312200.

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

1721868840000 is a `hidden beast` number, since 172 + 18 + 68 + 8 + 400 + 0 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 134994517056 + 1586874322944 = 367416^2 + 1259712^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=4, B=810.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

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 84 ways as a sum of consecutive naturals, for example, 344373767998 + ... + 344373768002.

Almost surely, 2^{1721868840000} is an apocalyptic number.

1721868840000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1721868840000 is the 1312200-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1721868840000

1721868840000 is an abundant number, since it is smaller than the sum of its proper divisors (4682643784147).

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

1721868840000 is an frugal number, since it uses more digits than its factorization.

1721868840000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The spelling of 1721868840000 in words is "one trillion, seven hundred twenty-one billion, eight hundred sixty-eight million, eight hundred forty thousand".