86864129255904 has 1536 divisors, whose sum is σ = 333260538347520. Its totient is φ = 19058805964800.

The previous prime is 86864129255903. The next prime is 86864129255957. The reversal of 86864129255904 is 40955292146868.

It is a Smith number, since the sum of its digits (69) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86864129255903) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 8467109527 + ... + 8467119785.

It is an arithmetic number, because the mean of its divisors is an integer number (216966496320).

Almost surely, 2^{86864129255904} is an apocalyptic number.

86864129255904 is a gapful number since it is divisible by the number (84) 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 86864129255904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166630269173760).

86864129255904 is an abundant number, since it is smaller than the sum of its proper divisors (246396409091616).

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

86864129255904 is a wasteful number, since it uses less digits than its factorization.

86864129255904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10464 (or 10456 counting only the distinct ones).

The product of its (nonzero) digits is 298598400, while the sum is 69.

The spelling of 86864129255904 in words is "eighty-six trillion, eight hundred sixty-four billion, one hundred twenty-nine million, two hundred fifty-five thousand, nine hundred four".