87966333440 has 160 divisors (see below), whose sum is σ = 215167884624. Its totient is φ = 34481111040.

The previous prime is 87966333431. The next prime is 87966333443. The reversal of 87966333440 is 4433366978.

It can be written as a sum of positive squares in 8 ways, for example, as 1774768384 + 86191565056 = 42128^2 + 293584^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is not an unprimeable number, because it can be changed into a prime (87966333443) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 49501832 + ... + 49503608.

Almost surely, 2^87966333440 is an apocalyptic number.

87966333440 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87966333440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107583942312).

87966333440 is an abundant number, since it is smaller than the sum of its proper divisors (127201551184).

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

87966333440 is a wasteful number, since it uses less digits than its factorization.

87966333440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2178 (or 2162 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 53.

The spelling of 87966333440 in words is "eighty-seven billion, nine hundred sixty-six million, three hundred thirty-three thousand, four hundred forty".