87225715600 has 45 divisors (see below), whose sum is σ = 209573973777. Its totient is φ = 34887923520.

The previous prime is 87225715589. The next prime is 87225715627. The reversal of 87225715600 is 651752278.

The square root of 87225715600 is 295340.

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., 31401257616 + 55824457984 = 177204^2 + 236272^2 .

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, 5899417 + ... + 5914183.

Almost surely, 2^87225715600 is an apocalyptic number.

87225715600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

87225715600 is the 295340-th square number.

It is an amenable number.

87225715600 is an abundant number, since it is smaller than the sum of its proper divisors (122348258177).

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

87225715600 is an frugal number, since it uses more digits than its factorization.

87225715600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29552 (or 14774 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 43.

The spelling of 87225715600 in words is "eighty-seven billion, two hundred twenty-five million, seven hundred fifteen thousand, six hundred".