86686734960 has 720 divisors, whose sum is σ = 347830924896. Its totient is φ = 19285475328.

The previous prime is 86686734949. The next prime is 86686734977. The reversal of 86686734960 is 6943768668.

86686734960 is a `hidden beast` number, since 8 + 66 + 86 + 7 + 3 + 496 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 249817507 + ... + 249817853.

Almost surely, 2^86686734960 is an apocalyptic number.

86686734960 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 86686734960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173915462448).

86686734960 is an abundant number, since it is smaller than the sum of its proper divisors (261144189936).

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

86686734960 is a wasteful number, since it uses less digits than its factorization.

86686734960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

It can be divided in two parts, 8668 and 6734960, that added together give a triangular number (6743628 = T₃₆₇₂).

The spelling of 86686734960 in words is "eighty-six billion, six hundred eighty-six million, seven hundred thirty-four thousand, nine hundred sixty".