1001721600000 has 2304 divisors, whose sum is σ = 4422316953600. Its totient is φ = 221184000000.

The previous prime is 1001721599993. The next prime is 1001721600007. The reversal of 1001721600000 is 61271001.

It is an interprime number because it is at equal distance from previous prime (1001721599993) and next prime (1001721600007).

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001721600007) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 32313599985 + ... + 32313600015.

It is an arithmetic number, because the mean of its divisors is an integer number (1919408400).

Almost surely, 2^{1001721600000} is an apocalyptic number.

1001721600000 is a gapful number since it is divisible by the number (10) 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 1001721600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2211158476800).

1001721600000 is an abundant number, since it is smaller than the sum of its proper divisors (3420595353600).

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

1001721600000 is an equidigital number, since it uses as much as digits as its factorization.

1001721600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

Adding to 1001721600000 its reverse (61271001), we get a palindrome (1001782871001).

The spelling of 1001721600000 in words is "one trillion, one billion, seven hundred twenty-one million, six hundred thousand".