86526398448 has 640 divisors, whose sum is σ = 314037043200. Its totient is φ = 22239608832.

The previous prime is 86526398423. The next prime is 86526398503. The reversal of 86526398448 is 84489362568.

86526398448 is a `hidden beast` number, since 86 + 5 + 26 + 3 + 98 + 448 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 189335436 + ... + 189335892.

It is an arithmetic number, because the mean of its divisors is an integer number (490682880).

Almost surely, 2^86526398448 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 86526398448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157018521600).

86526398448 is an abundant number, since it is smaller than the sum of its proper divisors (227510644752).

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

86526398448 is a wasteful number, since it uses less digits than its factorization.

86526398448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654 (or 642 counting only the distinct ones).

The product of its digits is 79626240, while the sum is 63.

The spelling of 86526398448 in words is "eighty-six billion, five hundred twenty-six million, three hundred ninety-eight thousand, four hundred forty-eight".