87121786896 has 135 divisors (see below), whose sum is σ = 253463054143. Its totient is φ = 29008717920.

The previous prime is 87121786883. The next prime is 87121786897. The reversal of 87121786896 is 69868712178.

The square root of 87121786896 is 295164.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (87121786897) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 95632681 + ... + 95633591.

Almost surely, 2^87121786896 is an apocalyptic number.

87121786896 is the 295164-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87121786896

87121786896 is an abundant number, since it is smaller than the sum of its proper divisors (166341267247).

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

87121786896 is an frugal number, since it uses more digits than its factorization.

87121786896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1854 (or 916 counting only the distinct ones).

The product of its digits is 16257024, while the sum is 63.

The spelling of 87121786896 in words is "eighty-seven billion, one hundred twenty-one million, seven hundred eighty-six thousand, eight hundred ninety-six".