810028800000 has 1728 divisors, whose sum is σ = 3493323288000. Its totient is φ = 180633600000.

The previous prime is 810028799981. The next prime is 810028800013. The reversal of 810028800000 is 8820018.

It is a super-2 number, since 2×810028800000² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 19756799980 + ... + 19756800020.

It is an arithmetic number, because the mean of its divisors is an integer number (2021599125).

Almost surely, 2^810028800000 is an apocalyptic number.

810028800000 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 810028800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1746661644000).

810028800000 is an abundant number, since it is smaller than the sum of its proper divisors (2683294488000).

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

810028800000 is an frugal number, since it uses more digits than its factorization.

810028800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The spelling of 810028800000 in words is "eight hundred ten billion, twenty-eight million, eight hundred thousand".