86424468480 has 1408 divisors, whose sum is σ = 376296898560. Its totient is φ = 18393661440.

The previous prime is 86424468467. The next prime is 86424468499. The reversal of 86424468480 is 8486442468.

86424468480 is a `hidden beast` number, since 8 + 6 + 42 + 446 + 84 + 80 = 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 127 ways as a sum of consecutive naturals, for example, 1289917407 + ... + 1289917473.

It is an arithmetic number, because the mean of its divisors is an integer number (267256320).

Almost surely, 2^86424468480 is an apocalyptic number.

86424468480 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 86424468480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188148449280).

86424468480 is an abundant number, since it is smaller than the sum of its proper divisors (289872430080).

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

86424468480 is a wasteful number, since it uses less digits than its factorization.

86424468480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 9437184, while the sum is 54.

The spelling of 86424468480 in words is "eighty-six billion, four hundred twenty-four million, four hundred sixty-eight thousand, four hundred eighty".