85782205146 has 64 divisors (see below), whose sum is σ = 198337507200. Its totient is φ = 24486067200.

The previous prime is 85782205123. The next prime is 85782205153. The reversal of 85782205146 is 64150228758.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 85782205095 and 85782205104.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 468091 + ... + 625038.

It is an arithmetic number, because the mean of its divisors is an integer number (3099023550).

Almost surely, 2^85782205146 is an apocalyptic number.

85782205146 is an abundant number, since it is smaller than the sum of its proper divisors (112555302054).

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

85782205146 is a wasteful number, since it uses less digits than its factorization.

85782205146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1093215.

The product of its (nonzero) digits is 1075200, while the sum is 48.

The spelling of 85782205146 in words is "eighty-five billion, seven hundred eighty-two million, two hundred five thousand, one hundred forty-six".