86085029760 has 512 divisors, whose sum is σ = 308518502400. Its totient is φ = 20288765952.

The previous prime is 86085029747. The next prime is 86085029783. The reversal of 86085029760 is 6792058068.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (51).

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 63 ways as a sum of consecutive naturals, for example, 78759774 + ... + 78760866.

It is an arithmetic number, because the mean of its divisors is an integer number (602575200).

Almost surely, 2^86085029760 is an apocalyptic number.

86085029760 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 86085029760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154259251200).

86085029760 is an abundant number, since it is smaller than the sum of its proper divisors (222433472640).

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

86085029760 is a wasteful number, since it uses less digits than its factorization.

86085029760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1278 (or 1266 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 51.

The spelling of 86085029760 in words is "eighty-six billion, eighty-five million, twenty-nine thousand, seven hundred sixty".