86743284880 has 240 divisors, whose sum is σ = 244066521600. Its totient is φ = 28556236800.

The previous prime is 86743284869. The next prime is 86743284889. The reversal of 86743284880 is 8848234768.

It is a happy number.

It is a super-3 number, since 3×86743284880³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (58) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (86743284889) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15916396 + ... + 15921844.

It is an arithmetic number, because the mean of its divisors is an integer number (1016943840).

Almost surely, 2^86743284880 is an apocalyptic number.

86743284880 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 86743284880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122033260800).

86743284880 is an abundant number, since it is smaller than the sum of its proper divisors (157323236720).

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

86743284880 is a wasteful number, since it uses less digits than its factorization.

86743284880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5638 (or 5625 counting only the distinct ones).

The product of its (nonzero) digits is 16515072, while the sum is 58.

The spelling of 86743284880 in words is "eighty-six billion, seven hundred forty-three million, two hundred eighty-four thousand, eight hundred eighty".