810228669120 has 1008 divisors, whose sum is σ = 3175848067392. Its totient is φ = 189143285760.

The previous prime is 810228669101. The next prime is 810228669121. The reversal of 810228669120 is 21966822018.

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

It is not an unprimeable number, because it can be changed into a prime (810228669121) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1757545690 + ... + 1757546150.

It is an arithmetic number, because the mean of its divisors is an integer number (3150642924).

Almost surely, 2^810228669120 is an apocalyptic number.

810228669120 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 810228669120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1587924033696).

810228669120 is an abundant number, since it is smaller than the sum of its proper divisors (2365619398272).

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

810228669120 is a wasteful number, since it uses less digits than its factorization.

810228669120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 810228669120 in words is "eight hundred ten billion, two hundred twenty-eight million, six hundred sixty-nine thousand, one hundred twenty".