85266586058880 has 128 divisors (see below), whose sum is σ = 271883061362880. Its totient is φ = 22729740111872.

The previous prime is 85266586058869. The next prime is 85266586058881. The reversal of 85266586058880 is 8885068566258.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (85266586058881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2379834 + ... + 13273913.

Almost surely, 2^{85266586058880} is an apocalyptic number.

85266586058880 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 85266586058880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135941530681440).

85266586058880 is an abundant number, since it is smaller than the sum of its proper divisors (186616475304000).

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

85266586058880 is a wasteful number, since it uses less digits than its factorization.

85266586058880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15656606 (or 15656594 counting only the distinct ones).

The product of its (nonzero) digits is 1769472000, while the sum is 75.

The spelling of 85266586058880 in words is "eighty-five trillion, two hundred sixty-six billion, five hundred eighty-six million, fifty-eight thousand, eight hundred eighty".