85628836564992 has 780 divisors, whose sum is σ = 310551232029280. Its totient is φ = 23026061279232.

The previous prime is 85628836564951. The next prime is 85628836565081. The reversal of 85628836564992 is 29946563882658.

85628836564992 is a `hidden beast` number, since 8 + 5 + 62 + 8 + 8 + 3 + 65 + 6 + 499 + 2 = 666.

It is a super-2 number, since 2×85628836564992² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 671119059 + ... + 671246637.

Almost surely, 2^{85628836564992} 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 85628836564992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155275616014640).

85628836564992 is an abundant number, since it is smaller than the sum of its proper divisors (224922395464288).

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

85628836564992 is a wasteful number, since it uses less digits than its factorization.

85628836564992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127656 (or 127608 counting only the distinct ones).

The product of its digits is 10749542400, while the sum is 81.

The spelling of 85628836564992 in words is "eighty-five trillion, six hundred twenty-eight billion, eight hundred thirty-six million, five hundred sixty-four thousand, nine hundred ninety-two".