85506133248 has 288 divisors, whose sum is σ = 271751598720. Its totient is φ = 26422640640.

The previous prime is 85506133187. The next prime is 85506133267. The reversal of 85506133248 is 84233160558.

85506133248 is a `hidden beast` number, since 8 + 5 + 5 + 0 + 613 + 3 + 24 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×85506133248² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7867338 + ... + 7878198.

It is an arithmetic number, because the mean of its divisors is an integer number (943581940).

Almost surely, 2^85506133248 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 85506133248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135875799360).

85506133248 is an abundant number, since it is smaller than the sum of its proper divisors (186245465472).

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

85506133248 is a wasteful number, since it uses less digits than its factorization.

85506133248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10970 (or 10950 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 85506133248 in words is "eighty-five billion, five hundred six million, one hundred thirty-three thousand, two hundred forty-eight".