1720252684800 has 1920 divisors, whose sum is σ = 7303752529920. Its totient is φ = 392822784000.

The previous prime is 1720252684751. The next prime is 1720252684823. The reversal of 1720252684800 is 84862520271.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7714137489 + ... + 7714137711.

It is an arithmetic number, because the mean of its divisors is an integer number (3804037776).

Almost surely, 2^{1720252684800} is an apocalyptic number.

1720252684800 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 1720252684800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3651876264960).

1720252684800 is an abundant number, since it is smaller than the sum of its proper divisors (5583499845120).

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

1720252684800 is a wasteful number, since it uses less digits than its factorization.

1720252684800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 1720252684800 in words is "one trillion, seven hundred twenty billion, two hundred fifty-two million, six hundred eighty-four thousand, eight hundred".