85102112268 has 288 divisors, whose sum is σ = 243829958400. Its totient is φ = 25577648640.

The previous prime is 85102112143. The next prime is 85102112269. The reversal of 85102112268 is 86221120158.

85102112268 is a `hidden beast` number, since 8 + 510 + 2 + 112 + 26 + 8 = 666.

It is a super-2 number, since 2×85102112268² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (85102112269) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 245250871 + ... + 245251217.

It is an arithmetic number, because the mean of its divisors is an integer number (846631800).

Almost surely, 2^85102112268 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 85102112268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121914979200).

85102112268 is an abundant number, since it is smaller than the sum of its proper divisors (158727846132).

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

85102112268 is a wasteful number, since it uses less digits than its factorization.

85102112268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The spelling of 85102112268 in words is "eighty-five billion, one hundred two million, one hundred twelve thousand, two hundred sixty-eight".