86424552032 has 288 divisors, whose sum is σ = 219152812032. Its totient is φ = 33335253504.

The previous prime is 86424552017. The next prime is 86424552041. The reversal of 86424552032 is 23025542468.

It is a happy number.

It is a super-3 number, since 3×86424552032³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 328610333 + ... + 328610595.

It is an arithmetic number, because the mean of its divisors is an integer number (760947264).

Almost surely, 2^86424552032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86424552032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109576406016).

86424552032 is an abundant number, since it is smaller than the sum of its proper divisors (132728260000).

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

86424552032 is an equidigital number, since it uses as much as digits as its factorization.

86424552032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 41.

The spelling of 86424552032 in words is "eighty-six billion, four hundred twenty-four million, five hundred fifty-two thousand, thirty-two".