810795716352 has 288 divisors, whose sum is σ = 2452219176960. Its totient is φ = 264155074560.

The previous prime is 810795716351. The next prime is 810795716363. The reversal of 810795716352 is 253617597018.

810795716352 is a `hidden beast` number, since 8 + 1 + 0 + 7 + 9 + 571 + 63 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (810795716351) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99272973 + ... + 99281139.

It is an arithmetic number, because the mean of its divisors is an integer number (8514649920).

Almost surely, 2^810795716352 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 810795716352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1226109588480).

810795716352 is an abundant number, since it is smaller than the sum of its proper divisors (1641423460608).

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

810795716352 is a wasteful number, since it uses less digits than its factorization.

810795716352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8516 (or 8496 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 54.

The spelling of 810795716352 in words is "eight hundred ten billion, seven hundred ninety-five million, seven hundred sixteen thousand, three hundred fifty-two".