85629183696 has 240 divisors, whose sum is σ = 287450601984. Its totient is φ = 24170078592.

The previous prime is 85629183691. The next prime is 85629183697. The reversal of 85629183696 is 69638192658.

85629183696 is a `hidden beast` number, since 8 + 562 + 9 + 1 + 8 + 3 + 69 + 6 = 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 (85629183691) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2239975 + ... + 2277881.

Almost surely, 2^85629183696 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 85629183696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143725300992).

85629183696 is an abundant number, since it is smaller than the sum of its proper divisors (201821418288).

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

85629183696 is a wasteful number, since it uses less digits than its factorization.

85629183696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38020 (or 38002 counting only the distinct ones).

The product of its digits is 33592320, while the sum is 63.

The spelling of 85629183696 in words is "eighty-five billion, six hundred twenty-nine million, one hundred eighty-three thousand, six hundred ninety-six".