85937214168 has 512 divisors, whose sum is σ = 287400960000. Its totient is φ = 23535401472.

The previous prime is 85937214157. The next prime is 85937214179. The reversal of 85937214168 is 86141273958.

85937214168 is a `hidden beast` number, since 8 + 593 + 7 + 2 + 1 + 41 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (85937214157) and next prime (85937214179).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 72398071 + ... + 72399257.

It is an arithmetic number, because the mean of its divisors is an integer number (561330000).

Almost surely, 2^85937214168 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 85937214168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143700480000).

85937214168 is an abundant number, since it is smaller than the sum of its proper divisors (201463745832).

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

85937214168 is a wasteful number, since it uses less digits than its factorization.

85937214168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1316 (or 1306 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The spelling of 85937214168 in words is "eighty-five billion, nine hundred thirty-seven million, two hundred fourteen thousand, one hundred sixty-eight".