86837961284928 has 84 divisors (see below), whose sum is σ = 284463242238240. Its totient is φ = 24810846080256.

The previous prime is 86837961284927. The next prime is 86837961284941. The reversal of 86837961284928 is 82948216973868.

86837961284928 is a `hidden beast` number, since 8 + 6 + 8 + 37 + 96 + 1 + 2 + 8 + 492 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (84).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86837961284927) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10768592358 + ... + 10768600421.

Almost surely, 2^{86837961284928} is an apocalyptic number.

It is an amenable number.

86837961284928 is an abundant number, since it is smaller than the sum of its proper divisors (197625280953312).

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

86837961284928 is a wasteful number, since it uses less digits than its factorization.

86837961284928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21537192804 (or 21537192791 counting only the distinct ones).

The product of its digits is 4013162496, while the sum is 81.

The spelling of 86837961284928 in words is "eighty-six trillion, eight hundred thirty-seven billion, nine hundred sixty-one million, two hundred eighty-four thousand, nine hundred twenty-eight".