85271066496 has 1280 divisors, whose sum is σ = 343790853120. Its totient is φ = 20304691200.

The previous prime is 85271066483. The next prime is 85271066497. The reversal of 85271066496 is 69466017258.

85271066496 is a `hidden beast` number, since 8 + 527 + 10 + 66 + 49 + 6 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85271066497) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 827874381 + ... + 827874483.

It is an arithmetic number, because the mean of its divisors is an integer number (268586604).

Almost surely, 2^85271066496 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 85271066496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171895426560).

85271066496 is an abundant number, since it is smaller than the sum of its proper divisors (258519786624).

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

85271066496 is a wasteful number, since it uses less digits than its factorization.

85271066496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 85271066496 in words is "eighty-five billion, two hundred seventy-one million, sixty-six thousand, four hundred ninety-six".