86385761280 has 1584 divisors, whose sum is σ = 392433481440. Its totient is φ = 18059231232.

The previous prime is 86385761257. The next prime is 86385761317. The reversal of 86385761280 is 8216758368.

86385761280 is a `hidden beast` number, since 8 + 63 + 8 + 576 + 1 + 2 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 792529866 + ... + 792529974.

It is an arithmetic number, because the mean of its divisors is an integer number (247748410).

Almost surely, 2^86385761280 is an apocalyptic number.

86385761280 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 86385761280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196216740720).

86385761280 is an abundant number, since it is smaller than the sum of its proper divisors (306047720160).

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

86385761280 is a wasteful number, since it uses less digits than its factorization.

86385761280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 86385761280 in words is "eighty-six billion, three hundred eighty-five million, seven hundred sixty-one thousand, two hundred eighty".