815120065600 has 63 divisors (see below), whose sum is σ = 2005793677381. Its totient is φ = 326033580800.

The previous prime is 815120065589. The next prime is 815120065621. The reversal of 815120065600 is 6560021518.

It is a happy number.

The square root of 815120065600 is 902840.

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., 293443223616 + 521676841984 = 541704^2 + 722272^2 .

It is a Duffinian 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 8 ways as a sum of consecutive naturals, for example, 36102315 + ... + 36124885.

Almost surely, 2^815120065600 is an apocalyptic number.

815120065600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

815120065600 is the 902840-th square number.

It is an amenable number.

815120065600 is an abundant number, since it is smaller than the sum of its proper divisors (1190673611781).

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

815120065600 is an frugal number, since it uses more digits than its factorization.

815120065600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45164 (or 22578 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 34.

The spelling of 815120065600 in words is "eight hundred fifteen billion, one hundred twenty million, sixty-five thousand, six hundred".