86334236160 has 640 divisors, whose sum is σ = 306484383744. Its totient is φ = 20635975680.

The previous prime is 86334236159. The next prime is 86334236161. The reversal of 86334236160 is 6163243368.

It is an interprime number because it is at equal distance from previous prime (86334236159) and next prime (86334236161).

It is a tau number, because it is divible by the number of its divisors (640).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86334236161) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 335930752 + ... + 335931008.

Almost surely, 2^86334236160 is an apocalyptic number.

86334236160 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 86334236160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153242191872).

86334236160 is an abundant number, since it is smaller than the sum of its proper divisors (220150147584).

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

86334236160 is a wasteful number, since it uses less digits than its factorization.

86334236160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 42.

The spelling of 86334236160 in words is "eighty-six billion, three hundred thirty-four million, two hundred thirty-six thousand, one hundred sixty".