810197432352 has 288 divisors, whose sum is σ = 2884456358784. Its totient is φ = 209566310400.

The previous prime is 810197432339. The next prime is 810197432357. The reversal of 810197432352 is 253234791018.

It is a happy number.

810197432352 is a `hidden beast` number, since 81 + 0 + 1 + 97 + 432 + 3 + 52 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 810197432298 and 810197432307.

It is not an unprimeable number, because it can be changed into a prime (810197432357) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5268618 + ... + 5420214.

It is an arithmetic number, because the mean of its divisors is an integer number (10015473468).

Almost surely, 2^810197432352 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 810197432352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1442228179392).

810197432352 is an abundant number, since it is smaller than the sum of its proper divisors (2074258926432).

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

810197432352 is a wasteful number, since it uses less digits than its factorization.

810197432352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151872 (or 151861 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 810197432352 in words is "eight hundred ten billion, one hundred ninety-seven million, four hundred thirty-two thousand, three hundred fifty-two".