810590671872 has 352 divisors, whose sum is σ = 2471511772800. Its totient is φ = 262279987200.

The previous prime is 810590671867. The next prime is 810590671897. The reversal of 810590671872 is 278176095018.

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

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 31 ways as a sum of consecutive naturals, for example, 239181154 + ... + 239184542.

Almost surely, 2^810590671872 is an apocalyptic number.

810590671872 is a gapful number since it is divisible by the number (82) 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 810590671872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1235755886400).

810590671872 is an abundant number, since it is smaller than the sum of its proper divisors (1660921100928).

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

810590671872 is a wasteful number, since it uses less digits than its factorization.

810590671872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3670 (or 3646 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 54.

The spelling of 810590671872 in words is "eight hundred ten billion, five hundred ninety million, six hundred seventy-one thousand, eight hundred seventy-two".