85693196160 has 512 divisors, whose sum is σ = 356565888000. Its totient is φ = 19175546880.

The previous prime is 85693196143. The next prime is 85693196167. The reversal of 85693196160 is 6169139658.

85693196160 is a `hidden beast` number, since 8 + 5 + 6 + 9 + 3 + 19 + 616 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 85693196097 and 85693196106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85693196167) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2453701 + ... + 2488379.

It is an arithmetic number, because the mean of its divisors is an integer number (696417750).

Almost surely, 2^85693196160 is an apocalyptic number.

85693196160 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85693196160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178282944000).

85693196160 is an abundant number, since it is smaller than the sum of its proper divisors (270872691840).

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

85693196160 is a wasteful number, since it uses less digits than its factorization.

85693196160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34731 (or 34713 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The spelling of 85693196160 in words is "eighty-five billion, six hundred ninety-three million, one hundred ninety-six thousand, one hundred sixty".