87909878016 has 405 divisors, whose sum is σ = 275359597513. Its totient is φ = 27894343680.

The previous prime is 87909878011. The next prime is 87909878029. The reversal of 87909878016 is 61087890978.

The square root of 87909878016 is 296496.

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., 46097807616 + 41812070400 = 214704^2 + 204480^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (87909878011) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1238167261 + ... + 1238167331.

Almost surely, 2^87909878016 is an apocalyptic number.

87909878016 is the 296496-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87909878016

87909878016 is an abundant number, since it is smaller than the sum of its proper divisors (187449719497).

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

87909878016 is an frugal number, since it uses more digits than its factorization.

87909878016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 63.

The spelling of 87909878016 in words is "eighty-seven billion, nine hundred nine million, eight hundred seventy-eight thousand, sixteen".