86303156160 has 224 divisors, whose sum is σ = 297959800320. Its totient is φ = 21037289472.

The previous prime is 86303156119. The next prime is 86303156207. The reversal of 86303156160 is 6165130368.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1251871 + ... + 1319009.

It is an arithmetic number, because the mean of its divisors is an integer number (1330177680).

Almost surely, 2^86303156160 is an apocalyptic number.

86303156160 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 86303156160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148979900160).

86303156160 is an abundant number, since it is smaller than the sum of its proper divisors (211656644160).

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

86303156160 is a wasteful number, since it uses less digits than its factorization.

86303156160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67275 (or 67265 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The spelling of 86303156160 in words is "eighty-six billion, three hundred three million, one hundred fifty-six thousand, one hundred sixty".