86346834572160 has 1280 divisors, whose sum is σ = 336436156584000. Its totient is φ = 21028684824576.

The previous prime is 86346834572153. The next prime is 86346834572161. The reversal of 86346834572160 is 6127543864368.

It is a happy number.

86346834572160 is a `hidden beast` number, since 8 + 6 + 3 + 4 + 68 + 345 + 72 + 160 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86346834572161) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 3972332812 + ... + 3972354548.

Almost surely, 2^{86346834572160} is an apocalyptic number.

86346834572160 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 86346834572160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168218078292000).

86346834572160 is an abundant number, since it is smaller than the sum of its proper divisors (250089322011840).

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

86346834572160 is a wasteful number, since it uses less digits than its factorization.

86346834572160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21933 (or 21912 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 63.

The spelling of 86346834572160 in words is "eighty-six trillion, three hundred forty-six billion, eight hundred thirty-four million, five hundred seventy-two thousand, one hundred sixty".