85882503168 has 816 divisors, whose sum is σ = 324535990272. Its totient is φ = 21233664000.

The previous prime is 85882503131. The next prime is 85882503209. The reversal of 85882503168 is 86130528858.

It is a happy number.

85882503168 is a `hidden beast` number, since 8 + 58 + 82 + 503 + 1 + 6 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1407909858 + ... + 1407909918.

Almost surely, 2^85882503168 is an apocalyptic number.

85882503168 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85882503168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162267995136).

85882503168 is an abundant number, since it is smaller than the sum of its proper divisors (238653487104).

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

85882503168 is a wasteful number, since it uses less digits than its factorization.

85882503168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 54.

The spelling of 85882503168 in words is "eighty-five billion, eight hundred eighty-two million, five hundred three thousand, one hundred sixty-eight".