86687580960 has 72 divisors (see below), whose sum is σ = 295821374940. Its totient is φ = 23116687872.

The previous prime is 86687580899. The next prime is 86687580971. The reversal of 86687580960 is 6908578668.

It can be written as a sum of positive squares in 2 ways, for example, as 82440191376 + 4247389584 = 287124^2 + 65172^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 11 ways as a sum of consecutive naturals, for example, 30098415 + ... + 30101294.

Almost surely, 2^86687580960 is an apocalyptic number.

86687580960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86687580960 is an abundant number, since it is smaller than the sum of its proper divisors (209133793980).

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

86687580960 is a wasteful number, since it uses less digits than its factorization.

86687580960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60199730 (or 60199719 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 86687580960 in words is "eighty-six billion, six hundred eighty-seven million, five hundred eighty thousand, nine hundred sixty".