85894477449858 has 288 divisors, whose sum is σ = 238223546121600. Its totient is φ = 21729449871360.

The previous prime is 85894477449799. The next prime is 85894477449863.

85894477449858 is a `hidden beast` number, since 8 + 5 + 8 + 9 + 4 + 47 + 74 + 498 + 5 + 8 = 666.

85894477449858 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×85894477449858² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 904590568 + ... + 904685516.

It is an arithmetic number, because the mean of its divisors is an integer number (827165090700).

Almost surely, 2^{85894477449858} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85894477449858, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119111773060800).

85894477449858 is an abundant number, since it is smaller than the sum of its proper divisors (152329068671742).

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

85894477449858 is a wasteful number, since it uses less digits than its factorization.

85894477449858 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95414 (or 95368 counting only the distinct ones).

The product of its digits is 104044953600, while the sum is 90.

The spelling of 85894477449858 in words is "eighty-five trillion, eight hundred ninety-four billion, four hundred seventy-seven million, four hundred forty-nine thousand, eight hundred fifty-eight".