85767465888 has 864 divisors, whose sum is σ = 301953899520. Its totient is φ = 22882590720.

The previous prime is 85767465887. The next prime is 85767465893. The reversal of 85767465888 is 88856476758.

85767465888 is a `hidden beast` number, since 8 + 576 + 7 + 46 + 5 + 8 + 8 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

Its product of digits (722534400) is a multiple of the sum of its prime divisors (180).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85767465887) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 963679348 + ... + 963679436.

It is an arithmetic number, because the mean of its divisors is an integer number (349483680).

Almost surely, 2^85767465888 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 85767465888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150976949760).

85767465888 is an abundant number, since it is smaller than the sum of its proper divisors (216186433632).

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

85767465888 is a wasteful number, since it uses less digits than its factorization.

85767465888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 180 counting only the distinct ones).

The product of its digits is 722534400, while the sum is 72.

The spelling of 85767465888 in words is "eighty-five billion, seven hundred sixty-seven million, four hundred sixty-five thousand, eight hundred eighty-eight".