85352626368 has 504 divisors, whose sum is σ = 268758497280. Its totient is φ = 26857059840.

The previous prime is 85352626313. The next prime is 85352626391. The reversal of 85352626368 is 86362625358.

85352626368 is a `hidden beast` number, since 8 + 5 + 3 + 5 + 2 + 626 + 3 + 6 + 8 = 666.

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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1028344855 + ... + 1028344937.

Almost surely, 2^85352626368 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 85352626368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134379248640).

85352626368 is an abundant number, since it is smaller than the sum of its proper divisors (183405870912).

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

85352626368 is an frugal number, since it uses more digits than its factorization.

85352626368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 198 counting only the distinct ones).

The product of its digits is 12441600, while the sum is 54.

The spelling of 85352626368 in words is "eighty-five billion, three hundred fifty-two million, six hundred twenty-six thousand, three hundred sixty-eight".