85789132877448 has 864 divisors, whose sum is σ = 327905888506560. Its totient is φ = 20012852321280.

The previous prime is 85789132877417. The next prime is 85789132877477. The reversal of 85789132877448 is 84477823198758.

85789132877448 is a `hidden beast` number, since 8 + 5 + 7 + 8 + 91 + 3 + 2 + 87 + 7 + 448 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 242489661 + ... + 242843187.

It is an arithmetic number, because the mean of its divisors is an integer number (379520704290).

Almost surely, 2^{85789132877448} is an apocalyptic number.

85789132877448 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 85789132877448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163952944253280).

85789132877448 is an abundant number, since it is smaller than the sum of its proper divisors (242116755629112).

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

85789132877448 is a wasteful number, since it uses less digits than its factorization.

85789132877448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353627 (or 353600 counting only the distinct ones).

The product of its digits is 6069288960, while the sum is 81.

The spelling of 85789132877448 in words is "eighty-five trillion, seven hundred eighty-nine billion, one hundred thirty-two million, eight hundred seventy-seven thousand, four hundred forty-eight".