87409859256976 has 45 divisors (see below), whose sum is σ = 169706494205001. Its totient is φ = 43614820843776.

The previous prime is 87409859256947. The next prime is 87409859257081. The reversal of 87409859256976 is 67965295890478.

The square root of 87409859256976 is 9349324.

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., 23700344890000 + 63709514366976 = 4868300^2 + 7981824^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 87409859256893 and 87409859256902.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 20456318776 + ... + 20456323048.

Almost surely, 2^{87409859256976} is an apocalyptic number.

87409859256976 is the 9349324-th square number.

It is an amenable number.

87409859256976 is a deficient number, since it is larger than the sum of its proper divisors (82296634948025).

87409859256976 is an frugal number, since it uses more digits than its factorization.

87409859256976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9648 (or 4822 counting only the distinct ones).

The product of its (nonzero) digits is 16460236800, while the sum is 85.

The spelling of 87409859256976 in words is "eighty-seven trillion, four hundred nine billion, eight hundred fifty-nine million, two hundred fifty-six thousand, nine hundred seventy-six".