85336768188 has 288 divisors, whose sum is σ = 272175321600. Its totient is φ = 22836059136.

The previous prime is 85336768171. The next prime is 85336768189. The reversal of 85336768188 is 88186763358.

85336768188 is a `hidden beast` number, since 85 + 336 + 76 + 81 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85336768189) 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, 11501856 + ... + 11509272.

It is an arithmetic number, because the mean of its divisors is an integer number (945053200).

Almost surely, 2^85336768188 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 85336768188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136087660800).

85336768188 is an abundant number, since it is smaller than the sum of its proper divisors (186838553412).

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

85336768188 is a wasteful number, since it uses less digits than its factorization.

85336768188 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7551 (or 7537 counting only the distinct ones).

The product of its digits is 46448640, while the sum is 63.

It can be divided in two parts, 8533 and 6768188, that added together give a triangular number (6776721 = T₃₆₈₁).

The spelling of 85336768188 in words is "eighty-five billion, three hundred thirty-six million, seven hundred sixty-eight thousand, one hundred eighty-eight".