86339753280 has 420 divisors, whose sum is σ = 337596700980. Its totient is φ = 20930088960.

The previous prime is 86339753257. The next prime is 86339753287. The reversal of 86339753280 is 8235793368.

It can be written as a sum of positive squares in 2 ways, for example, as 30636201024 + 55703552256 = 175032^2 + 236016^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86339753287) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3122556 + ... + 3150084.

It is an arithmetic number, because the mean of its divisors is an integer number (803801669).

Almost surely, 2^86339753280 is an apocalyptic number.

86339753280 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 86339753280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168798350490).

86339753280 is an abundant number, since it is smaller than the sum of its proper divisors (251256947700).

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

86339753280 is a wasteful number, since it uses less digits than its factorization.

86339753280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27580 (or 27550 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 86339753280 in words is "eighty-six billion, three hundred thirty-nine million, seven hundred fifty-three thousand, two hundred eighty".