86083134480 has 320 divisors, whose sum is σ = 346750187520. Its totient is φ = 19218415104.

The previous prime is 86083134469. The next prime is 86083134593. The reversal of 86083134480 is 8443138068.

86083134480 is a `hidden beast` number, since 8 + 60 + 83 + 1 + 34 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 583959 + ... + 716361.

It is an arithmetic number, because the mean of its divisors is an integer number (1083594336).

Almost surely, 2^86083134480 is an apocalyptic number.

86083134480 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 86083134480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173375093760).

86083134480 is an abundant number, since it is smaller than the sum of its proper divisors (260667053040).

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

86083134480 is a wasteful number, since it uses less digits than its factorization.

86083134480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132475 (or 132463 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 86083134480 in words is "eighty-six billion, eighty-three million, one hundred thirty-four thousand, four hundred eighty".