1712884160400 has 720 divisors, whose sum is σ = 6455394953280. Its totient is φ = 387091353600.

The previous prime is 1712884160387. The next prime is 1712884160417. The reversal of 1712884160400 is 40614882171.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2415915246 + ... + 2415915954.

It is an arithmetic number, because the mean of its divisors is an integer number (8965826324).

Almost surely, 2^{1712884160400} is an apocalyptic number.

1712884160400 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 1712884160400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3227697476640).

1712884160400 is an abundant number, since it is smaller than the sum of its proper divisors (4742510792880).

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

1712884160400 is a wasteful number, since it uses less digits than its factorization.

1712884160400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1152 (or 1134 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 42.

The spelling of 1712884160400 in words is "one trillion, seven hundred twelve billion, eight hundred eighty-four million, one hundred sixty thousand, four hundred".