86583485760 has 224 divisors, whose sum is σ = 285843634560. Its totient is φ = 22178193408.

The previous prime is 86583485749. The next prime is 86583485767. The reversal of 86583485760 is 6758438568.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 86583485694 and 86583485703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86583485767) by changing a digit.

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, 5476587 + ... + 5492373.

Almost surely, 2^86583485760 is an apocalyptic number.

86583485760 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 86583485760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142921817280).

86583485760 is an abundant number, since it is smaller than the sum of its proper divisors (199260148800).

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

86583485760 is a wasteful number, since it uses less digits than its factorization.

86583485760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16033 (or 16023 counting only the distinct ones).

The product of its (nonzero) digits is 38707200, while the sum is 60.

The spelling of 86583485760 in words is "eighty-six billion, five hundred eighty-three million, four hundred eighty-five thousand, seven hundred sixty".