86981435424 has 72 divisors (see below), whose sum is σ = 266380657452. Its totient is φ = 26763517440.

The previous prime is 86981435419. The next prime is 86981435441. The reversal of 86981435424 is 42453418968.

86981435424 is a `hidden beast` number, since 8 + 6 + 98 + 1 + 4 + 3 + 542 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 77272880400 + 9708555024 = 277980^2 + 98532^2 .

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 (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11612367 + ... + 11619854.

Almost surely, 2^86981435424 is an apocalyptic number.

It is an amenable number.

86981435424 is an abundant number, since it is smaller than the sum of its proper divisors (179399222028).

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

86981435424 is a wasteful number, since it uses less digits than its factorization.

86981435424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23232250 (or 23232239 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 54.

The spelling of 86981435424 in words is "eighty-six billion, nine hundred eighty-one million, four hundred thirty-five thousand, four hundred twenty-four".