85134864672 has 960 divisors, whose sum is σ = 318116937600. Its totient is φ = 21937029120.

The previous prime is 85134864637. The next prime is 85134864677. The reversal of 85134864672 is 27646843158.

It is a happy number.

85134864672 is a `hidden beast` number, since 8 + 51 + 3 + 486 + 46 + 72 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (85134864677) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 371767854 + ... + 371768082.

It is an arithmetic number, because the mean of its divisors is an integer number (331371810).

Almost surely, 2^85134864672 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 85134864672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159058468800).

85134864672 is an abundant number, since it is smaller than the sum of its proper divisors (232982072928).

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

85134864672 is a wasteful number, since it uses less digits than its factorization.

85134864672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 334 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 54.

It can be divided in two parts, 8513486 and 4672, that added together give a palindrome (8518158).

The spelling of 85134864672 in words is "eighty-five billion, one hundred thirty-four million, eight hundred sixty-four thousand, six hundred seventy-two".