810001728000 has 640 divisors, whose sum is σ = 3089010862080. Its totient is φ = 209018880000.

The previous prime is 810001727999. The next prime is 810001728013. The reversal of 810001728000 is 827100018.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-3 number, since 3×810001728000³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 53560440 + ... + 53575560.

It is an arithmetic number, because the mean of its divisors is an integer number (4826579472).

Almost surely, 2^810001728000 is an apocalyptic number.

810001728000 is a gapful number since it is divisible by the number (80) 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 810001728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1544505431040).

810001728000 is an abundant number, since it is smaller than the sum of its proper divisors (2279009134080).

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

810001728000 is a wasteful number, since it uses less digits than its factorization.

810001728000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15194 (or 15162 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

Adding to 810001728000 its reverse (827100018), we get a palindrome (810828828018).

The spelling of 810001728000 in words is "eight hundred ten billion, one million, seven hundred twenty-eight thousand".