815705210896 has 45 divisors (see below), whose sum is σ = 1652299031901. Its totient is φ = 390080144256.

The previous prime is 815705210869. The next prime is 815705210959. The reversal of 815705210896 is 698012507518.

The square root of 815705210896 is 903164.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 810396048400 + 5309162496 = 900220^2 + 72864^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 83086180 + ... + 83095996.

Almost surely, 2^815705210896 is an apocalyptic number.

815705210896 is the 903164-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 815705210896

815705210896 is an abundant number, since it is smaller than the sum of its proper divisors (836593821005).

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

815705210896 is an frugal number, since it uses more digits than its factorization.

815705210896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19688 (or 9842 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 52.

The spelling of 815705210896 in words is "eight hundred fifteen billion, seven hundred five million, two hundred ten thousand, eight hundred ninety-six".