85783196160 has 240 divisors, whose sum is σ = 298217307960. Its totient is φ = 22788833280.

The previous prime is 85783196131. The next prime is 85783196179. The reversal of 85783196160 is 6169138758.

85783196160 is a `hidden beast` number, since 8 + 5 + 7 + 8 + 3 + 19 + 616 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 39891273984 + 45891922176 = 199728^2 + 214224^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 85783196097 and 85783196106.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6190840 + ... + 6204680.

Almost surely, 2^85783196160 is an apocalyptic number.

85783196160 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 85783196160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149108653980).

85783196160 is an abundant number, since it is smaller than the sum of its proper divisors (212434111800).

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

85783196160 is a wasteful number, since it uses less digits than its factorization.

85783196160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14139 (or 14120 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 85783196160 in words is "eighty-five billion, seven hundred eighty-three million, one hundred ninety-six thousand, one hundred sixty".