86683729780008 has 24 divisors (see below), whose sum is σ = 234768434821050. Its totient is φ = 28894576593312.

The previous prime is 86683729780003. The next prime is 86683729780051. The reversal of 86683729780008 is 80008792738668.

It can be written as a sum of positive squares in only one way, i.e., 68059827026244 + 18623902753764 = 8249838^2 + 4315542^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (72), and also a Moran number because the ratio is a prime number: 1203940691389 = 86683729780008 / (8 + 6 + 6 + 8 + 3 + 7 + 2 + 9 + 7 + 8 + 0 + 0 + 0 + 8).

It is not an unprimeable number, because it can be changed into a prime (86683729780003) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 601970345623 + ... + 601970345766.

Almost surely, 2^{86683729780008} is an apocalyptic number.

It is an amenable number.

86683729780008 is an abundant number, since it is smaller than the sum of its proper divisors (148084705041042).

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

86683729780008 is a wasteful number, since it uses less digits than its factorization.

86683729780008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1203940691401 (or 1203940691394 counting only the distinct ones).

The product of its (nonzero) digits is 390168576, while the sum is 72.

The spelling of 86683729780008 in words is "eighty-six trillion, six hundred eighty-three billion, seven hundred twenty-nine million, seven hundred eighty thousand, eight".