1725348748800 has 480 divisors, whose sum is σ = 5852783835360. Its totient is φ = 447781273600.

The previous prime is 1725348748771. The next prime is 1725348748829. The reversal of 1725348748800 is 88478435271.

It is an interprime number because it is at equal distance from previous prime (1725348748771) and next prime (1725348748829).

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 801368524 + ... + 801370676.

It is an arithmetic number, because the mean of its divisors is an integer number (12193299657).

Almost surely, 2^{1725348748800} is an apocalyptic number.

1725348748800 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 1725348748800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2926391917680).

1725348748800 is an abundant number, since it is smaller than the sum of its proper divisors (4127435086560).

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

1725348748800 is a wasteful number, since it uses less digits than its factorization.

1725348748800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2734 (or 2713 counting only the distinct ones).

The product of its (nonzero) digits is 12042240, while the sum is 57.

The spelling of 1725348748800 in words is "one trillion, seven hundred twenty-five billion, three hundred forty-eight million, seven hundred forty-eight thousand, eight hundred".