810512080896 has 224 divisors, whose sum is σ = 2474995799808. Its totient is φ = 231104839680.

The previous prime is 810512080891. The next prime is 810512080921. The reversal of 810512080896 is 698080215018.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (810512080891) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89624151 + ... + 89633193.

It is an arithmetic number, because the mean of its divisors is an integer number (11049088392).

Almost surely, 2^810512080896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 810512080896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1237497899904).

810512080896 is an abundant number, since it is smaller than the sum of its proper divisors (1664483718912).

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

810512080896 is an equidigital number, since it uses as much as digits as its factorization.

810512080896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9600 (or 9576 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 48.

The spelling of 810512080896 in words is "eight hundred ten billion, five hundred twelve million, eighty thousand, eight hundred ninety-six".