85245654258 has 64 divisors (see below), whose sum is σ = 199789027200. Its totient is φ = 26867842560.

The previous prime is 85245654257. The next prime is 85245654313.

85245654258 is a `hidden beast` number, since 8 + 5 + 2 + 45 + 6 + 542 + 58 = 666.

85245654258 is nontrivially palindromic in base 10.

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

It is not an unprimeable number, because it can be changed into a prime (85245654253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 454810 + ... + 614282.

It is an arithmetic number, because the mean of its divisors is an integer number (3121703550).

Almost surely, 2^85245654258 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85245654258, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99894513600).

85245654258 is an abundant number, since it is smaller than the sum of its proper divisors (114543372942).

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

85245654258 is a wasteful number, since it uses less digits than its factorization.

85245654258 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160024 (or 160018 counting only the distinct ones).

The product of its digits is 15360000, while the sum is 54.

The spelling of 85245654258 in words is "eighty-five billion, two hundred forty-five million, six hundred fifty-four thousand, two hundred fifty-eight".