86007512448 has 576 divisors, whose sum is σ = 302378000400. Its totient is φ = 24038277120.

The previous prime is 86007512441. The next prime is 86007512471. The reversal of 86007512448 is 84421570068.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86007512441) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 70671136 + ... + 70672352.

Almost surely, 2^86007512448 is an apocalyptic number.

86007512448 is a gapful number since it is divisible by the number (88) 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 86007512448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151189000200).

86007512448 is an abundant number, since it is smaller than the sum of its proper divisors (216370487952).

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

86007512448 is a wasteful number, since it uses less digits than its factorization.

86007512448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1288 (or 1246 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 86007512448 in words is "eighty-six billion, seven million, five hundred twelve thousand, four hundred forty-eight".